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Scalars, Vectors, Distance, Displacement, speed, and velocity

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Privacy Policy

Last updated: April 15, 2022

This Privacy Policy describes Our policies and procedures on the collection, use and disclosure of Your information when You use our services. It also tells you about your privacy rights and how the law protects you.

We use Your Personal data to provide and improve our services. By using our services, you are agreeing to the collection and use of information in accordance with this Privacy Policy.
Definitions
For the purposes of this Privacy Policy:

* Account means a unique account created for You to access our Service or parts of our Service.

* Company (referred to as either "the Company", "We", "Us" or "Our" in this Agreement) refers to Shalom Education Ltd, 86 London Road, (Kingsland Church), Colchester, Essex, CO3 9DW. For the purpose of the GDPR, the Company is the Data Controller.

* Cookies are small files that are placed on Your computer, mobile device or any other device by a website, containing the details of Your browsing history on that website among its many uses.

* Country refers to the United Kingdom.

* Data Controller, for the purposes of the GDPR (General Data Protection Regulation), refers to the Company as the legal person which alone or jointly with others determines the purposes and means of the processing of Personal Data.

* Device means any device that can access the Service such as a computer, a mobile phone or a digital tablet.

* Personal Data is any information that relates to an identified or identifiable individual. For the purposes of GDPR, Personal Data means any information relating to you such as a name, an identification number, location data, online identifier or to one or more factors specific to the physical, physiological, genetic, mental, economic, cultural or social identity.

* Service refers to the use of our website, resources or our tutoring services.

* Service Provider means any natural or legal person who processes the data on behalf of the company. It refers to third-party companies or individuals employed by the company to facilitate the services. This is to provide the services on behalf of the company, to perform services related to the main services or to assist the company in analysing how the service are used. For the purpose of the GDPR, Service Providers are considered Data Processors.

* Usage Data refers to data collected automatically, either generated by the use of the the services or from the service infrastructure itself (for example, the duration of a page visit).

* Website refers to Shalom Education, accessible from https://www.shalom-education.com

* You means the individual accessing or using the Service, or the company, or other legal entity on behalf of which such individual is accessing or using the Service, as applicable.Under GDPR (General Data Protection Regulation), You can be referred to as the Data Subject or as the User as you are the individual using the Service.
Collecting and Using Your Personal Data
Types of Data Collected

Personal Data
Whilst using Our Service, We may ask you to provide us with certain personally identifiable information that can be used to contact or identify you. Personally identifiable information may include, but is not limited to:

* Email address
* First name and last name
* Phone number
* Address, State, Province, ZIP/Postal code, City
* Usage Data

Usage Data

Usage Data is collected automatically when using the Service.

Usage Data may include information such as your Device's Internet Protocol address (IP address), browser type, browser version, the pages of our services that you visit, the time and date of your visit, the time spent on those pages, unique device identifiers and other diagnostic data.

When You access the Service by or through a mobile device, We may collect certain information automatically, including, but not limited to, the type of mobile device you use, your mobile device unique ID, the IP address of your mobile device, your mobile operating system, the type of mobile Internet browser you use, unique device identifiers and other diagnostic data.

We may also collect information that your browser sends whenever you visit our website or when you access our website by or through a mobile device.

Tracking Technologies and Cookies
We use Cookies and similar tracking technologies to track the activity on our website and store certain information. Tracking technologies used are beacons, tags, and scripts to collect and track information and to improve and analyse our services. The technologies We use may include:

* Cookies or Browser Cookies. A cookie is a small file placed on your Device. You can instruct your browser to refuse all Cookies or to indicate when a Cookie is being sent. However, if you do not accept Cookies, you may not be able to use some parts of our Service. Unless you have adjusted your browser setting so that it will refuse cookies, our services may use cookies.

* Flash Cookies. Certain features of our services may use local stored objects (or Flash Cookies) to collect and store information about your preferences or your activity on our services. Flash Cookies are not managed by the same browser settings as those used for browser cookies. For more information on how you can delete flash cookies, please read "Where can I change the settings for disabling, or deleting local shared objects?" available at https://helpx.adobe.com/flash-player/kb/disable-local-shared-objects-flash.html#main_Where_can_I_change_the_settings_for_disabling__or_deleting_local_shared_objects_

* Web Beacons. Certain sections of our Service and our emails may contain small electronic files known as web beacons (also referred to as clear gifs, pixel tags, and single-pixel gifs) that permit the company, for example, to count users who have visited those pages or opened an email and for other related website statistics (for example, recording the popularity of a certain section and verifying system and server integrity).
Cookies can be "persistent" or "session" Cookies. Persistent Cookies remain on Your personal computer or mobile device when you go offline, whilst Session cookies are deleted as soon as you close your web browser.

We use both session and persistent cookies for the purposes set out below:

* Necessary / Essential Cookies
Type: Session cookies

Administered by: Us

Purpose: These Cookies are essential to provide you with services available through the website and to enable You to use some of its features. They help to authenticate users and prevent fraudulent use of user accounts. Without these Cookies, the services that you have asked for cannot be provided, and we only use these cookies to provide you with those services.

* Cookies Policy / Notice Acceptance Cookies
Type: Persistent cookies

Administered by: Us

Purpose: These Cookies identify if users have accepted the use of cookies on the Website.

* Functionality Cookies
Type: Persistent cookies

Administered by: Us

Purpose: These cookies allow us to remember the choices you make when you use the website, such as remembering your login details or language preference. The purpose of these cookies is to provide you with a more personal experience and to avoid you having to re-enter your preferences every time you use the website.

* Tracking and Performance Cookies
Type: Persistent cookies

Administered by: Third-Parties

Purpose: These cookies are used to track information about traffic to the website and how users use the website. The information gathered via these cookies may directly or indirectly identify you as an individual visitor. This is because the information collected is typically linked to a pseudonymous identifier associated with the device you use to access the website. We may also use these cookies to test new pages, features or new functionality of the website to see how our users react to them.

* Targeting and Advertising Cookies
Type: Persistent cookies

Administered by: Third-Parties

Purpose: These cookies track your browsing habits to enable us to show advertising which is more likely to be of interest to you. These Cookies use information about your browsing history to group you with other users who have similar interests. Based on that information, and with our permission, third party advertisers can place cookies to enable them to show adverts which we think will be relevant to your interests whilst you are on third party websites.

For more information about the cookies we use and your choices regarding cookies, please visit our Cookies Policy or the Cookies section of our Privacy Policy.

Use of Your Personal Data
The Company may use personal data for the following purposes:

* To provide and maintain our service, including to monitor the usage of our Service.

* To manage your Account: to manage your registration as a user of the service. The personal data You provide can give You access to different functionalities of the services that are available to you as a registered user.

* For the performance of a contract: the development, compliance and undertaking of the purchase contract for the products, items or services you have purchased or of any other contract with us through the our services.

* To contact you: To contact you by email, telephone calls, SMS, or other equivalent forms of electronic communication, such as a mobile application's push notifications regarding updates or informative communications related to the functionalities, products or contracted services, including the security updates, when necessary or reasonable for their implementation.

* To provide you with news, special offers and general information about other goods, services and events which we offer that are similar to those that you have already purchased or enquired about unless You have opted not to receive such information.

* To manage your requests: To attend and manage your requests to us.

* To deliver targeted advertising to you: we may use Your information to develop and display content and advertising (and work with third-party vendors who do so) tailored to your interests and/or location and to measure its effectiveness.

* For business transfers: We may use your information to evaluate or conduct a merger, divestiture, restructuring, reorganization, dissolution, or other sale or transfer of some or all of our assets, whether as a going concern or as part of bankruptcy, liquidation, or similar proceeding, in which personal data held by us about our service's users are among the assets transferred.

* For other purposes: We may use your information for other purposes, such as data analysis, identifying usage trends, determining the effectiveness of our promotional campaigns and to evaluate and improve our services, products, , marketing and your overall experience.

We may share Your personal information in the following situations:

* With Service Providers: We may share your personal information with service providers to monitor and analyse the use of our services, to show advertisements to you to help support and maintain our services, to advertise on third party websites to you after you visited our website, for payment processing or to contact you.

* For business transfers: We may share or transfer your personal information in connection with, or during negotiations of, any merger, sale of company assets, financing, or acquisition of all or a portion of our business to another company.

* With Affiliates: We may share your information with our affiliates, in which case we will require those affiliates to honour this privacy policy. Affiliates include our parent company and any other subsidiaries, joint venture partners or other companies that we control or that are under common control with us.

* With business partners: We may share your information with our business partners to offer you certain products, services or promotions.

* With other users: when You share personal information or otherwise interact in the public areas with other users, such information may be viewed by all users and may be publicly distributed outside.

* With Your consent: We may disclose your personal information for any other purpose with your consent.

Retention of Your Personal Data
The Company will retain your personal Data only for as long as is necessary for the purposes set out in this privacy policy. We will retain and use your personal data to the extent necessary to comply with our legal obligations (for example, if we are required to retain your data to comply with applicable laws), resolve disputes, and enforce our legal agreements and policies.

The Company will also retain usage data for internal analysis purposes. Usage data is generally retained for a shorter period of time, except when this data is used to strengthen the security or to improve the functionality of our services, or we are legally obligated to retain this data for longer time periods.

How we store your personal data
The General Data Protection Regulation (2018) (GDPR) contains principles affecting employers and other personal records of prospective and current learners/parents, tutors and employees of Shalom Education. Information protected by GDPR includes not only personal data held on a computer, but also certain manual records containing personal data, such as learners/parents and employee personnel files that form part of a structured filing system, database or both.

We ensure that the web server hosting our website and other social media platforms are solely used for the purpose of Shalom Education's services and not for personal interest. Also, that all personal data that we collected are stored on secured cloud based servers, in accordance with Shalom Education's data protection obligation, the ICO guideline and for security purposes.

Transfer of Your Personal Data

Your information, including personal data, is processed at the company's operating offices and in any other places where the parties involved in the processing are located. It means that this information may be transferred to - and maintained on - computers located outside of your state, province, country or other governmental jurisdiction where the data protection laws may differ than those from your jurisdiction.

Your consent to this privacy policy followed by your submission of such information represents your agreement to that transfer.

We will take all steps reasonably necessary to ensure that your data is treated securely and in accordance with this Privacy Policy. Also, we will ensure that no transfer of your personal data will take place to an organisation or a country unless there are adequate controls in place, including the security of your data and other personal information.

Disclosure of Your Personal Data

Business Transactions

If Shalom education Ltd is involved in a merger, acquisition or asset sale, your personal data may be transferred. However, we will provide notice before your personal data is transferred and becomes subject to a different privacy policy.

Law enforcement

Under certain circumstances, the we may be required to disclose your personal data if required to do so by law or in response to valid requests by public authorities (e.g. a court or a government agency).

Other legal requirements

Shalom Education Ltd may disclose your personal data in the good faith belief that such action is necessary to:

* Comply with a legal obligation
* Protect and defend the rights or property of the company
* Prevent or investigate possible wrongdoing in connection with our services
* Protect the personal safety of users of our services or the public
* Protect against legal liability

Security of Your Personal Data

The security of Your Personal Data is important to us, but remember that no method of transmission over the Internet, or method of electronic storage is 100% secure. While we strive to use commercially acceptable means to protect your personal Data, We cannot guarantee its absolute security.
Detailed Information on the Processing of Your Personal Data
The service providers we use may have access to your personal data. These third-party vendors collect, store, use, process and transfer information about your activity on our service in accordance with their privacy policies.

Analytics

We may use third-party Service providers to monitor and analyse the use of our Service. For example:

* Google Analytics
Google Analytics is a web analytics service offered by Google that tracks and reports website traffic. Google uses the data collected to track and monitor the use of our Service. This data is shared with other Google services. Google may use the collected data to contextualise and personalize the ads of its own advertising network.

You can opt-out of having your activity on our website being available to Google Analytics by installing the Google Analytics opt-out browser add-on. The add-on prevents the Google Analytics JavaScript (ga.js, analytics.js and dc.js) from sharing information with Google Analytics about visits activity.

For more information on the privacy practices of Google, please visit the Google Privacy & Terms web page: https://policies.google.com/privacy

Advertising

We may use Service Providers to show advertisements to You to help support and maintain Our Service. For example:

* Google AdSense & DoubleClick Cookie
Google, as a third party vendor, uses cookies to serve ads on our Service. Google's use of the DoubleClick cookie enables it and its partners to serve ads to our users based on their visit to our website or other websites on the Internet.

You may opt out of the use of the DoubleClick Cookie for interest-based advertising by visiting the Google Ads Settings web page: https://www.google.com/ads/preferences/
Email Marketing
We may use your personal data to contact you with newsletters, marketing or promotional materials and other information that may be of interest to you. You may opt-out of receiving any, or all of these communications from us by following the unsubscribe link or instructions provided in any email we send or by contacting us.

We may use Email Marketing Service Providers to manage and send emails to You. For example, using:

* Mailchimp
Mailchimp is an email marketing sending service provided by The Rocket Science Group LLC.

For more information on the privacy practices of Mailchimp, please visit their Privacy policy: https://mailchimp.com/legal/privacy/

Payments

We provide paid services on our website and we may provide paid products. So, we may use third-party services for payment processing (e.g. payment processors).

We will not store or collect your payment card details. That information is provided directly to our third-party payment processors whose use of your personal information is governed by their privacy policy. These payment processors adhere to the standards set by PCI-DSS as managed by the PCI Security Standards Council, which is a joint effort of brands like Visa, Mastercard, American Express and Discover. PCI-DSS requirements help ensure the secure handling of payment information. We are currently using:

* Stripe
Their Privacy Policy can be viewed at https://stripe.com/us/privacy

Behavioural Remarketing

We use remarketing services to advertise to you after you have accessed or visited our website. We and our third-party vendors use cookies and non-cookie technologies to help us recognize your device and understand how you use our website. Therefore, we can improve our services to reflect your interests and serve you advertisements that are likely to be of more interest to you.

These third-party vendors collect, store, use, process and transfer information about your activity on our website in accordance with their Privacy Policies, which enables us to:

Measure and analyse traffic and browsing activity on our website
Show advertisements for our products and/or services to you on third-party websites or apps
Measure and analyse the performance of our advertising campaigns
Some of these third-party vendors may use non-cookie technologies that may not be impacted by browser settings that block cookies. Your browser may not permit you to block such technologies. Instead, you can use the following third-party tools to decline the collection and use of information for the purpose of serving you interest-based advertising:

The NAI's opt-out platform: https://www.networkadvertising.org/choices/
The EDAA's opt-out platform https://www.youronlinechoices.com/
The DAA's opt-out platform: https://optout.aboutads.info/?c=2&lang=EN
You may opt-out of all personalised advertising by enabling privacy features on your mobile device, such as Limit Ad Tracking (iOS) and Opt Out of Ads Personalisation (Android). Check your mobile device Help system for more information.

We may share information, such as hashed email addresses (if available) or other online identifiers collected on our website with these third-party vendors. This allows our third-party vendors to recognise and deliver you ads across devices and browsers. To read more about the technologies used by these third-party vendors and their cross-device capabilities please refer to the privacy policy of each vendor listed below.

The third-party vendors We use are:

* Google Ads (AdWords)
Google Ads (AdWords) remarketing service is provided by Google Inc.

You can opt-out of Google Analytics for display advertising and customise the Google Display Network ads by visiting the Google Ads Settings page: https://www.google.com/settings/ads

Google also recommends installing the Google Analytics Opt-out Browser Add-on - https://tools.google.com/dlpage/gaoptout - for your web browser. The Google Analytics Opt-out Browser Add-on provides visitors with the ability to prevent their data from being collected and used by Google Analytics.

For more information on the privacy practices of Google, please visit the Google Privacy & Terms web page: https://policies.google.com/privacy

* Facebook
Facebook remarketing service is provided by Facebook Inc.

You can learn more about interest-based advertising from Facebook by visiting this page: https://www.facebook.com/help/516147308587266

To opt-out from Facebook's interest-based ads, follow these instructions from Facebook: https://www.facebook.com/help/568137493302217

Facebook adheres to the Self-Regulatory Principles for Online Behavioural Advertising established by the Digital Advertising Alliance. You can also opt-out from Facebook and other participating companies through the Digital Advertising Alliance in the USA https://www.aboutads.info/choices/, the Digital Advertising Alliance of Canada in Canada https://youradchoices.ca/ or the European Interactive Digital Advertising Alliance in Europe https://www.youronlinechoices.eu/, or opt-out using your mobile device settings.

For more information on the privacy practices of Facebook, please visit Facebook's Data Policy: https://www.facebook.com/privacy/explanation

Usage, Performance and Miscellaneous

We may use third-party Service Providers to provide a better improvement of our website. For example, we use:

* Invisible reCAPTCHA
We use an invisible captcha service named reCAPTCHA. which is operated by Google.

The reCAPTCHA service may collect information from you and from your device for security purposes.

The information gathered by reCAPTCHA is held in accordance with the Privacy Policy of Google: https://www.google.com/intl/en/policies/privacy/
GDPR Privacy
Legal Basis for Processing Personal Data under GDPR

We may process personal data under the following conditions:

* Consent: You have given Your consent for processing personal data for one or more specific purposes.

* Performance of a contract: The provision of personal data is necessary for the performance of an agreement with you or for any pre-contractual obligations thereof.

* Legal obligations: Processing personal data is necessary for compliance with a legal obligation to which the company is subject.

* Vital interests: Processing personal data is necessary in order to protect your vital interests or of another natural person.

* Public interests: Processing personal data is related to a task that is carried out in the public interest or in the exercise of official authority vested in the Company.

* Legitimate interests: Processing personal data is necessary for the purposes of the legitimate interests pursued by the Company.

In any case, we will gladly help to clarify the specific legal basis that applies to the processing, and in particular whether the provision of personal data is a statutory (required by law) or a contractual requirement, or a requirement necessary to enter into a contract.

Your Rights under the GDPR

We respect the confidentiality of your personal data and we guarantee that you can exercise your rights.

You have the right under this privacy policy, and by law if you are within the EU or the UK, to:

* Request access to your personal data. The right to access, update or delete the information we have on you. Whenever made possible, you can access, update or request deletion of your personal data directly within your account settings section. If you are unable to perform these actions yourself, please contact us to assist you. This also enables you to receive a copy of the personal data we hold about you.

* Request correction of the personal data that we hold about you. You have the right to have any incomplete or inaccurate information we hold about you corrected.

* Object to processing of your personal data. This right exists where we are relying on a legitimate interest as the legal basis for our processing and there is something about your particular situation, which makes you want to object to our processing of your personal data on this ground. You also have the right to object to us processing your personal data for direct marketing purposes.

* Request erasure of your personal data. You have the right to ask us to delete or remove personal data when there is no good reason for us to continue processing it.

* Request the transfer of your personal data. We will provide to you, or to a third-party you have chosen, your personal data in a structured, commonly used, machine-readable format. Please note that this right only applies to automated information which you initially provided consent for us to use or where we used the information to perform a contract with you.

* Withdraw your consent. You have the right to withdraw your consent on using your personal data. If you withdraw your consent, we may not be able to provide you with access to specific functionalities of our services.

Exercising of Your GDPR Data Protection Rights

You may exercise Your rights of access, rectification, cancellation and opposition by contacting us. Please note that we may ask you to verify your identity before responding to such requests. If you make a request, we will try our best to respond to you as soon as possible.

You have the right to complain to a Data Protection Authority about our collection and use of your personal data. For more information, if you are in the European Economic Area (EEA), please contact Your local data protection authority in the EEA.
Children's Privacy
Our website may contain content appropriate for children under the age of 13. As a parent, you should know that by using our services, children under the age of 13 may participate in activities that involve the collection or use of personal information. We use reasonable efforts to ensure that before we collect any personal information from a child, the child's parent receives notice of and consents to our personal information practices.

We may also limit how we collect, use, and store some of the information of users between 13 and 18 years old. In some cases, this means that we will be unable to provide certain functionalities of our services to these users. If we need to rely on consent as a legal basis for processing your information and your country requires consent from a parent, We may require the parent's consent before we collect and use that information.

We may ask a user to verify their date of birth before collecting any personal information from them. If the user is under the age of 13, the service will either be blocked or redirected to a parental consent process.

Information Collected from Children Under the Age of 13

We may collect and store persistent identifiers, such as cookies or IP addresses from children, without parental consent for the purpose of supporting the internal operation of the our services.

We may collect and store other personal information about children if this information is submitted by a child with prior parental consent or by the parent or guardian of the child.

We may collect and store the following types of personal information about a child when submitted by a child with prior parental consent or by the parent or guardian of the child:

First and/or last name
Date of birth
Gender
Grade level/year group
Email address
Telephone number
Parent's or guardian's name
Parent's or guardian's email address
For further details on the information we might collect, you can refer to the "Types of Data Collected" section of this privacy policy. We follow our standard privacy policy for the disclosure of personal information collected from and about children.

Parental Access

A parent who has already given the Company permission to collect and use their child's personal information can, at any time:

Review, correct or delete the child's personal information
Discontinue further collection or use of the child's personal information
To make such a request, you can write to us using the contact information provided in this privacy policy.
Links to Other Websites
Our Service may contain links to other websites that are not operated by us. If you click on a third party link, you will be directed to that third party's site. We strongly advise you to review the privacy policy of every site you visit.

We have no control over and assume no responsibility for the content, privacy policies or practices of any third party sites or services.
Policies Unique to Our Tutoring Services
The following applies to students that have registered for our tutoring services and tutors and employees representing Shalom Education Ltd:

Your profile includes information such as your username and password, purchases or orders made by you, your interests, preferences, and feedback and survey responses.

Booking history including booking requests, subjects booked, set-up test while using our digital resources, any online meeting and recordings of your bookings

Electronic recordings from CCTV, tutoring session, video conference calls, communication history with other users, your interaction with Shalom Education Tutors, records of referral codes shared, redeemed and any promotions that have been applied to your account. All photo's, videos and conference recordings may be used to protect learner's, Tutors and employees and may be used as evidence to support any complaint.
Changes to this Privacy Policy
We may update Our Privacy Policy from time to time. We will notify You of any changes by posting the new Privacy Policy on this page.

We may let You know via email and/or a prominent notice on our website prior to the change becoming effective and update the "Last updated" date at the top of this Privacy Policy.

You are advised to review this Privacy Policy periodically for any changes. Changes to this Privacy Policy are effective when they are posted on this page.
Contact Us
If you have any questions about this Privacy Policy, You can contact us:

By email: info@shalom-education.com
By visiting this page on our website: https://www.shalom-education.com/contact
By phone number: 01206657616

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Distance, Displacement, Speed and Velocity

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Distance, Displacement, Speed and Velocity Quiz

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Distance, Displacement, Speed and Velocity Quiz

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Privacy Policy

Last updated: April 15, 2022

This Privacy Policy describes Our policies and procedures on the collection, use and disclosure of Your information when You use our services. It also tells you about your privacy rights and how the law protects you.

We use Your Personal data to provide and improve our services. By using our services, you are agreeing to the collection and use of information in accordance with this Privacy Policy.
Definitions
For the purposes of this Privacy Policy:

* Account means a unique account created for You to access our Service or parts of our Service.

* Company (referred to as either "the Company", "We", "Us" or "Our" in this Agreement) refers to Shalom Education Ltd, 86 London Road, (Kingsland Church), Colchester, Essex, CO3 9DW. For the purpose of the GDPR, the Company is the Data Controller.

* Cookies are small files that are placed on Your computer, mobile device or any other device by a website, containing the details of Your browsing history on that website among its many uses.

* Country refers to the United Kingdom.

* Data Controller, for the purposes of the GDPR (General Data Protection Regulation), refers to the Company as the legal person which alone or jointly with others determines the purposes and means of the processing of Personal Data.

* Device means any device that can access the Service such as a computer, a mobile phone or a digital tablet.

* Personal Data is any information that relates to an identified or identifiable individual. For the purposes of GDPR, Personal Data means any information relating to you such as a name, an identification number, location data, online identifier or to one or more factors specific to the physical, physiological, genetic, mental, economic, cultural or social identity.

* Service refers to the use of our website, resources or our tutoring services.

* Service Provider means any natural or legal person who processes the data on behalf of the company. It refers to third-party companies or individuals employed by the company to facilitate the services. This is to provide the services on behalf of the company, to perform services related to the main services or to assist the company in analysing how the service are used. For the purpose of the GDPR, Service Providers are considered Data Processors.

* Usage Data refers to data collected automatically, either generated by the use of the the services or from the service infrastructure itself (for example, the duration of a page visit).

* Website refers to Shalom Education, accessible from https://www.shalom-education.com

* You means the individual accessing or using the Service, or the company, or other legal entity on behalf of which such individual is accessing or using the Service, as applicable.Under GDPR (General Data Protection Regulation), You can be referred to as the Data Subject or as the User as you are the individual using the Service.
Collecting and Using Your Personal Data
Types of Data Collected

Personal Data
Whilst using Our Service, We may ask you to provide us with certain personally identifiable information that can be used to contact or identify you. Personally identifiable information may include, but is not limited to:

* Email address
* First name and last name
* Phone number
* Address, State, Province, ZIP/Postal code, City
* Usage Data

Usage Data

Usage Data is collected automatically when using the Service.

Usage Data may include information such as your Device's Internet Protocol address (IP address), browser type, browser version, the pages of our services that you visit, the time and date of your visit, the time spent on those pages, unique device identifiers and other diagnostic data.

When You access the Service by or through a mobile device, We may collect certain information automatically, including, but not limited to, the type of mobile device you use, your mobile device unique ID, the IP address of your mobile device, your mobile operating system, the type of mobile Internet browser you use, unique device identifiers and other diagnostic data.

We may also collect information that your browser sends whenever you visit our website or when you access our website by or through a mobile device.

Tracking Technologies and Cookies
We use Cookies and similar tracking technologies to track the activity on our website and store certain information. Tracking technologies used are beacons, tags, and scripts to collect and track information and to improve and analyse our services. The technologies We use may include:

* Cookies or Browser Cookies. A cookie is a small file placed on your Device. You can instruct your browser to refuse all Cookies or to indicate when a Cookie is being sent. However, if you do not accept Cookies, you may not be able to use some parts of our Service. Unless you have adjusted your browser setting so that it will refuse cookies, our services may use cookies.

* Flash Cookies. Certain features of our services may use local stored objects (or Flash Cookies) to collect and store information about your preferences or your activity on our services. Flash Cookies are not managed by the same browser settings as those used for browser cookies. For more information on how you can delete flash cookies, please read "Where can I change the settings for disabling, or deleting local shared objects?" available at https://helpx.adobe.com/flash-player/kb/disable-local-shared-objects-flash.html#main_Where_can_I_change_the_settings_for_disabling__or_deleting_local_shared_objects_

* Web Beacons. Certain sections of our Service and our emails may contain small electronic files known as web beacons (also referred to as clear gifs, pixel tags, and single-pixel gifs) that permit the company, for example, to count users who have visited those pages or opened an email and for other related website statistics (for example, recording the popularity of a certain section and verifying system and server integrity).
Cookies can be "persistent" or "session" Cookies. Persistent Cookies remain on Your personal computer or mobile device when you go offline, whilst Session cookies are deleted as soon as you close your web browser.

We use both session and persistent cookies for the purposes set out below:

* Necessary / Essential Cookies
Type: Session cookies

Administered by: Us

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Use of Your Personal Data
The Company may use personal data for the following purposes:

* To provide and maintain our service, including to monitor the usage of our Service.

* To manage your Account: to manage your registration as a user of the service. The personal data You provide can give You access to different functionalities of the services that are available to you as a registered user.

* For the performance of a contract: the development, compliance and undertaking of the purchase contract for the products, items or services you have purchased or of any other contract with us through the our services.

* To contact you: To contact you by email, telephone calls, SMS, or other equivalent forms of electronic communication, such as a mobile application's push notifications regarding updates or informative communications related to the functionalities, products or contracted services, including the security updates, when necessary or reasonable for their implementation.

* To provide you with news, special offers and general information about other goods, services and events which we offer that are similar to those that you have already purchased or enquired about unless You have opted not to receive such information.

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* To deliver targeted advertising to you: we may use Your information to develop and display content and advertising (and work with third-party vendors who do so) tailored to your interests and/or location and to measure its effectiveness.

* For business transfers: We may use your information to evaluate or conduct a merger, divestiture, restructuring, reorganization, dissolution, or other sale or transfer of some or all of our assets, whether as a going concern or as part of bankruptcy, liquidation, or similar proceeding, in which personal data held by us about our service's users are among the assets transferred.

* For other purposes: We may use your information for other purposes, such as data analysis, identifying usage trends, determining the effectiveness of our promotional campaigns and to evaluate and improve our services, products, , marketing and your overall experience.

We may share Your personal information in the following situations:

* With Service Providers: We may share your personal information with service providers to monitor and analyse the use of our services, to show advertisements to you to help support and maintain our services, to advertise on third party websites to you after you visited our website, for payment processing or to contact you.

* For business transfers: We may share or transfer your personal information in connection with, or during negotiations of, any merger, sale of company assets, financing, or acquisition of all or a portion of our business to another company.

* With Affiliates: We may share your information with our affiliates, in which case we will require those affiliates to honour this privacy policy. Affiliates include our parent company and any other subsidiaries, joint venture partners or other companies that we control or that are under common control with us.

* With business partners: We may share your information with our business partners to offer you certain products, services or promotions.

* With other users: when You share personal information or otherwise interact in the public areas with other users, such information may be viewed by all users and may be publicly distributed outside.

* With Your consent: We may disclose your personal information for any other purpose with your consent.

Retention of Your Personal Data
The Company will retain your personal Data only for as long as is necessary for the purposes set out in this privacy policy. We will retain and use your personal data to the extent necessary to comply with our legal obligations (for example, if we are required to retain your data to comply with applicable laws), resolve disputes, and enforce our legal agreements and policies.

The Company will also retain usage data for internal analysis purposes. Usage data is generally retained for a shorter period of time, except when this data is used to strengthen the security or to improve the functionality of our services, or we are legally obligated to retain this data for longer time periods.

How we store your personal data
The General Data Protection Regulation (2018) (GDPR) contains principles affecting employers and other personal records of prospective and current learners/parents, tutors and employees of Shalom Education. Information protected by GDPR includes not only personal data held on a computer, but also certain manual records containing personal data, such as learners/parents and employee personnel files that form part of a structured filing system, database or both.

We ensure that the web server hosting our website and other social media platforms are solely used for the purpose of Shalom Education's services and not for personal interest. Also, that all personal data that we collected are stored on secured cloud based servers, in accordance with Shalom Education's data protection obligation, the ICO guideline and for security purposes.

Transfer of Your Personal Data

Your information, including personal data, is processed at the company's operating offices and in any other places where the parties involved in the processing are located. It means that this information may be transferred to - and maintained on - computers located outside of your state, province, country or other governmental jurisdiction where the data protection laws may differ than those from your jurisdiction.

Your consent to this privacy policy followed by your submission of such information represents your agreement to that transfer.

We will take all steps reasonably necessary to ensure that your data is treated securely and in accordance with this Privacy Policy. Also, we will ensure that no transfer of your personal data will take place to an organisation or a country unless there are adequate controls in place, including the security of your data and other personal information.

Disclosure of Your Personal Data

Business Transactions

If Shalom education Ltd is involved in a merger, acquisition or asset sale, your personal data may be transferred. However, we will provide notice before your personal data is transferred and becomes subject to a different privacy policy.

Law enforcement

Under certain circumstances, the we may be required to disclose your personal data if required to do so by law or in response to valid requests by public authorities (e.g. a court or a government agency).

Other legal requirements

Shalom Education Ltd may disclose your personal data in the good faith belief that such action is necessary to:

* Comply with a legal obligation
* Protect and defend the rights or property of the company
* Prevent or investigate possible wrongdoing in connection with our services
* Protect the personal safety of users of our services or the public
* Protect against legal liability

Security of Your Personal Data

The security of Your Personal Data is important to us, but remember that no method of transmission over the Internet, or method of electronic storage is 100% secure. While we strive to use commercially acceptable means to protect your personal Data, We cannot guarantee its absolute security.
Detailed Information on the Processing of Your Personal Data
The service providers we use may have access to your personal data. These third-party vendors collect, store, use, process and transfer information about your activity on our service in accordance with their privacy policies.

Analytics

We may use third-party Service providers to monitor and analyse the use of our Service. For example:

* Google Analytics
Google Analytics is a web analytics service offered by Google that tracks and reports website traffic. Google uses the data collected to track and monitor the use of our Service. This data is shared with other Google services. Google may use the collected data to contextualise and personalize the ads of its own advertising network.

You can opt-out of having your activity on our website being available to Google Analytics by installing the Google Analytics opt-out browser add-on. The add-on prevents the Google Analytics JavaScript (ga.js, analytics.js and dc.js) from sharing information with Google Analytics about visits activity.

For more information on the privacy practices of Google, please visit the Google Privacy & Terms web page: https://policies.google.com/privacy

Advertising

We may use Service Providers to show advertisements to You to help support and maintain Our Service. For example:

* Google AdSense & DoubleClick Cookie
Google, as a third party vendor, uses cookies to serve ads on our Service. Google's use of the DoubleClick cookie enables it and its partners to serve ads to our users based on their visit to our website or other websites on the Internet.

You may opt out of the use of the DoubleClick Cookie for interest-based advertising by visiting the Google Ads Settings web page: https://www.google.com/ads/preferences/
Email Marketing
We may use your personal data to contact you with newsletters, marketing or promotional materials and other information that may be of interest to you. You may opt-out of receiving any, or all of these communications from us by following the unsubscribe link or instructions provided in any email we send or by contacting us.

We may use Email Marketing Service Providers to manage and send emails to You. For example, using:

* Mailchimp
Mailchimp is an email marketing sending service provided by The Rocket Science Group LLC.

For more information on the privacy practices of Mailchimp, please visit their Privacy policy: https://mailchimp.com/legal/privacy/

Payments

We provide paid services on our website and we may provide paid products. So, we may use third-party services for payment processing (e.g. payment processors).

We will not store or collect your payment card details. That information is provided directly to our third-party payment processors whose use of your personal information is governed by their privacy policy. These payment processors adhere to the standards set by PCI-DSS as managed by the PCI Security Standards Council, which is a joint effort of brands like Visa, Mastercard, American Express and Discover. PCI-DSS requirements help ensure the secure handling of payment information. We are currently using:

* Stripe
Their Privacy Policy can be viewed at https://stripe.com/us/privacy

Behavioural Remarketing

We use remarketing services to advertise to you after you have accessed or visited our website. We and our third-party vendors use cookies and non-cookie technologies to help us recognize your device and understand how you use our website. Therefore, we can improve our services to reflect your interests and serve you advertisements that are likely to be of more interest to you.

These third-party vendors collect, store, use, process and transfer information about your activity on our website in accordance with their Privacy Policies, which enables us to:

Measure and analyse traffic and browsing activity on our website
Show advertisements for our products and/or services to you on third-party websites or apps
Measure and analyse the performance of our advertising campaigns
Some of these third-party vendors may use non-cookie technologies that may not be impacted by browser settings that block cookies. Your browser may not permit you to block such technologies. Instead, you can use the following third-party tools to decline the collection and use of information for the purpose of serving you interest-based advertising:

The NAI's opt-out platform: https://www.networkadvertising.org/choices/
The EDAA's opt-out platform https://www.youronlinechoices.com/
The DAA's opt-out platform: https://optout.aboutads.info/?c=2&lang=EN
You may opt-out of all personalised advertising by enabling privacy features on your mobile device, such as Limit Ad Tracking (iOS) and Opt Out of Ads Personalisation (Android). Check your mobile device Help system for more information.

We may share information, such as hashed email addresses (if available) or other online identifiers collected on our website with these third-party vendors. This allows our third-party vendors to recognise and deliver you ads across devices and browsers. To read more about the technologies used by these third-party vendors and their cross-device capabilities please refer to the privacy policy of each vendor listed below.

The third-party vendors We use are:

* Google Ads (AdWords)
Google Ads (AdWords) remarketing service is provided by Google Inc.

You can opt-out of Google Analytics for display advertising and customise the Google Display Network ads by visiting the Google Ads Settings page: https://www.google.com/settings/ads

Google also recommends installing the Google Analytics Opt-out Browser Add-on - https://tools.google.com/dlpage/gaoptout - for your web browser. The Google Analytics Opt-out Browser Add-on provides visitors with the ability to prevent their data from being collected and used by Google Analytics.

For more information on the privacy practices of Google, please visit the Google Privacy & Terms web page: https://policies.google.com/privacy

* Facebook
Facebook remarketing service is provided by Facebook Inc.

You can learn more about interest-based advertising from Facebook by visiting this page: https://www.facebook.com/help/516147308587266

To opt-out from Facebook's interest-based ads, follow these instructions from Facebook: https://www.facebook.com/help/568137493302217

Facebook adheres to the Self-Regulatory Principles for Online Behavioural Advertising established by the Digital Advertising Alliance. You can also opt-out from Facebook and other participating companies through the Digital Advertising Alliance in the USA https://www.aboutads.info/choices/, the Digital Advertising Alliance of Canada in Canada https://youradchoices.ca/ or the European Interactive Digital Advertising Alliance in Europe https://www.youronlinechoices.eu/, or opt-out using your mobile device settings.

For more information on the privacy practices of Facebook, please visit Facebook's Data Policy: https://www.facebook.com/privacy/explanation

Usage, Performance and Miscellaneous

We may use third-party Service Providers to provide a better improvement of our website. For example, we use:

* Invisible reCAPTCHA
We use an invisible captcha service named reCAPTCHA. which is operated by Google.

The reCAPTCHA service may collect information from you and from your device for security purposes.

The information gathered by reCAPTCHA is held in accordance with the Privacy Policy of Google: https://www.google.com/intl/en/policies/privacy/
GDPR Privacy
Legal Basis for Processing Personal Data under GDPR

We may process personal data under the following conditions:

* Consent: You have given Your consent for processing personal data for one or more specific purposes.

* Performance of a contract: The provision of personal data is necessary for the performance of an agreement with you or for any pre-contractual obligations thereof.

* Legal obligations: Processing personal data is necessary for compliance with a legal obligation to which the company is subject.

* Vital interests: Processing personal data is necessary in order to protect your vital interests or of another natural person.

* Public interests: Processing personal data is related to a task that is carried out in the public interest or in the exercise of official authority vested in the Company.

* Legitimate interests: Processing personal data is necessary for the purposes of the legitimate interests pursued by the Company.

In any case, we will gladly help to clarify the specific legal basis that applies to the processing, and in particular whether the provision of personal data is a statutory (required by law) or a contractual requirement, or a requirement necessary to enter into a contract.

Your Rights under the GDPR

We respect the confidentiality of your personal data and we guarantee that you can exercise your rights.

You have the right under this privacy policy, and by law if you are within the EU or the UK, to:

* Request access to your personal data. The right to access, update or delete the information we have on you. Whenever made possible, you can access, update or request deletion of your personal data directly within your account settings section. If you are unable to perform these actions yourself, please contact us to assist you. This also enables you to receive a copy of the personal data we hold about you.

* Request correction of the personal data that we hold about you. You have the right to have any incomplete or inaccurate information we hold about you corrected.

* Object to processing of your personal data. This right exists where we are relying on a legitimate interest as the legal basis for our processing and there is something about your particular situation, which makes you want to object to our processing of your personal data on this ground. You also have the right to object to us processing your personal data for direct marketing purposes.

* Request erasure of your personal data. You have the right to ask us to delete or remove personal data when there is no good reason for us to continue processing it.

* Request the transfer of your personal data. We will provide to you, or to a third-party you have chosen, your personal data in a structured, commonly used, machine-readable format. Please note that this right only applies to automated information which you initially provided consent for us to use or where we used the information to perform a contract with you.

* Withdraw your consent. You have the right to withdraw your consent on using your personal data. If you withdraw your consent, we may not be able to provide you with access to specific functionalities of our services.

Exercising of Your GDPR Data Protection Rights

You may exercise Your rights of access, rectification, cancellation and opposition by contacting us. Please note that we may ask you to verify your identity before responding to such requests. If you make a request, we will try our best to respond to you as soon as possible.

You have the right to complain to a Data Protection Authority about our collection and use of your personal data. For more information, if you are in the European Economic Area (EEA), please contact Your local data protection authority in the EEA.
Children's Privacy
Our website may contain content appropriate for children under the age of 13. As a parent, you should know that by using our services, children under the age of 13 may participate in activities that involve the collection or use of personal information. We use reasonable efforts to ensure that before we collect any personal information from a child, the child's parent receives notice of and consents to our personal information practices.

We may also limit how we collect, use, and store some of the information of users between 13 and 18 years old. In some cases, this means that we will be unable to provide certain functionalities of our services to these users. If we need to rely on consent as a legal basis for processing your information and your country requires consent from a parent, We may require the parent's consent before we collect and use that information.

We may ask a user to verify their date of birth before collecting any personal information from them. If the user is under the age of 13, the service will either be blocked or redirected to a parental consent process.

Information Collected from Children Under the Age of 13

We may collect and store persistent identifiers, such as cookies or IP addresses from children, without parental consent for the purpose of supporting the internal operation of the our services.

We may collect and store other personal information about children if this information is submitted by a child with prior parental consent or by the parent or guardian of the child.

We may collect and store the following types of personal information about a child when submitted by a child with prior parental consent or by the parent or guardian of the child:

First and/or last name
Date of birth
Gender
Grade level/year group
Email address
Telephone number
Parent's or guardian's name
Parent's or guardian's email address
For further details on the information we might collect, you can refer to the "Types of Data Collected" section of this privacy policy. We follow our standard privacy policy for the disclosure of personal information collected from and about children.

Parental Access

A parent who has already given the Company permission to collect and use their child's personal information can, at any time:

Review, correct or delete the child's personal information
Discontinue further collection or use of the child's personal information
To make such a request, you can write to us using the contact information provided in this privacy policy.
Links to Other Websites
Our Service may contain links to other websites that are not operated by us. If you click on a third party link, you will be directed to that third party's site. We strongly advise you to review the privacy policy of every site you visit.

We have no control over and assume no responsibility for the content, privacy policies or practices of any third party sites or services.
Policies Unique to Our Tutoring Services
The following applies to students that have registered for our tutoring services and tutors and employees representing Shalom Education Ltd:

Your profile includes information such as your username and password, purchases or orders made by you, your interests, preferences, and feedback and survey responses.

Booking history including booking requests, subjects booked, set-up test while using our digital resources, any online meeting and recordings of your bookings

Electronic recordings from CCTV, tutoring session, video conference calls, communication history with other users, your interaction with Shalom Education Tutors, records of referral codes shared, redeemed and any promotions that have been applied to your account. All photo's, videos and conference recordings may be used to protect learner's, Tutors and employees and may be used as evidence to support any complaint.
Changes to this Privacy Policy
We may update Our Privacy Policy from time to time. We will notify You of any changes by posting the new Privacy Policy on this page.

We may let You know via email and/or a prominent notice on our website prior to the change becoming effective and update the "Last updated" date at the top of this Privacy Policy.

You are advised to review this Privacy Policy periodically for any changes. Changes to this Privacy Policy are effective when they are posted on this page.
Contact Us
If you have any questions about this Privacy Policy, You can contact us:

By email: info@shalom-education.com
By visiting this page on our website: https://www.shalom-education.com/contact
By phone number: 01206657616

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Distance, Displacement, Speed and Velocity Quiz

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Privacy Policy Last updated: April 15, 2022 This Privacy Policy describes Our policies and procedures on the collection, use and disclosure of Your information when You use our services. It also tells you about your privacy rights and how the law protects you. We use Your Personal data to provide and improve our services.

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Distance-Time Graphs Revision

Distance-Time Graphs

Distance-time graphs are a way of visually expressing a journey. With distance on the y-axis and time on the x-axis, a distance-time graph tells us how far someone/something has travelled and how long it took them/it to do so.

Make sure you are happy with the following topics before continuing:

Distance time graphs - Key things to remember:
1) The gradient of the line = speed
2) A flat section means no speed (stopped)

3) The steeper the graph the greater the speed
4) Negative gradient = returning to start point (coming back)

Using Distance Time Graphs

The graph below describes a journey that has several parts to it, each represented by a different straight line.

Part A: \bf{09:00 - 11:00}, the person travelled 30 km away from their starting point and that took them 2 hours.

Part B: \bf{11:00 - 12:00}, we can see that the line is flat, so the distance from their starting point did not change - they were stationary.

Part C: \bf{12:00 - 12:30}, they moved a further 30 km away from their starting point.

Part D : \bf{12:30 - 14:00}, they travelled the full 60 km back to where they began.

Calculate the speed - for each part of the journey:

\text{Speed} (S) = \dfrac{\text{Distance}(D)}{\text{Time}(T)}

Part A: \bf{09:00 - 11:00}

\text{Speed}= \dfrac{30}{2} = 15 km/h

Part B: \bf{11:00 - 12:00}

\text{Speed}= \dfrac{0}{1} = 0 km/h (Not moving)

Part C: \bf{12:00 - 12:30}

\text{Speed}= \dfrac{30}{0.5} = 60 km/h

Part D : \bf{12:30 - 14:00}

\text{Speed}= \dfrac{60}{1.5} = 40 km/h

From this we can see that the person travelled the fastest over part C.

Example: Bike Ride

Valentina is going for a bike ride. Below is a distance-time graph that describes her full journey.

a) How long was she stationary for?

b) What was the total distance travelled during her journey?

c) What was her average speed in kilometres per hour between 17:15 and 17:45?
[3 marks]

a) We can see that the graph was flat for the duration of one big square. From the axis, we can see that two big squares total 15 minutes, therefore one big square is worth 7.5 minutes, so she was stationary for 7.5 minutes.

b) Valentina travelled away 25 km away from home, stopped briefly, and then travelled 25 km back home. Therefore, she travelled 50 km in total.

c) We need to calculate the gradient of the graph between 17:15 and 17:45. This period lasted for 30 minutes, which is equivalent to 0.5 hours - this is the "change in x". During this period, she increased her distance from home from 5 km up to 25 km, meaning she travelled 20 km in total - this is the "change in y". So, we get

\text{Gradient } = \dfrac{20}{0.5} = 40 km/h

Distance-Time Graphs Example Questions

So, making the words above seem more readable, we get:

12:00 - 13:30, he travels from 0 miles away to 44 miles away;

13:30 - 16:30, he stays in one place;

16:30 - 18:30, he travels from 44 miles away to 0 miles away.

On a graph, this looks like:

Looking at the graph, we can see that he runs at three different speeds during different portions of the race. The graph becomes less steep in the middle, so that won't be his period of maximum speed, and the other two are hard to distinguish just by looking so we'll work them both out.

Period 1:

\text{Gradient } = \dfrac{\text{distance travelled}}{\text{time taken}} = \dfrac{600 - 0}{72 - 0} = 8.33 m/s

Period 3:

\text{Gradient } = \dfrac{\text{distance travelled}}{\text{time taken}} = \dfrac{1,500 - 880}{282 - 180} = 6.08 m/s

Therefore, the fastest speed travelled by Chris during the race was 8.33 m/s, to 3 sf.

(a) Distance travelled is,

\text{Total Distance } = 48 + 10 = 58 km

(b) She stopped for 30 mins at the 32 km mark.

The gradient of a distance time graph is the speed. Hence to find the fastest average speed we must find the steepest section of the graph.

This is the final section which cover 48 km in one hour, thus,

\text{Maximum speed } = 48 km/h

Distance-Time Graphs Worksheet and Example Questions

Distance-Time Graphs Drill Questions

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Distance-Time Graphs Worksheets, Questions and Revision

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Distance time graph revision. Maths Made Easy gives you access to maths worksheets, practice questions and videos to help you revise.

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Velocity-Time Graphs

A velocity-time graph (or speed-time graph) is a way of visually expressing a journey.

We are going to be using velocity-time graphs to find two things, primarily: total distance, and acceleration.

There are 5 key skills you need to learn

Make sure you are happy with the following topics before continuing:

Velocity-Time Graphs - Key things to remember:

With speed on the y-axis and time on the x-axis, a speed-time graph tells us how someone/something's speed has changed over a period of time.

1) The gradient of the line = Acceleration
2) Negative gradient = Deceleration
3) Flat section means constant velocity (NOT STOPPED)
4) Area under the graph = Distance travelled

Skill 1: Describing a graph

One Skill you will need learn is describing a velocity time graph.

Example: The speed-time graph shows a 50-second car journey. Describe the 50 second journey.

Step 1: Split the graph up into distinct sections, these can be seen in the image as A, B, C and D.

Step 2: In detail describe each part of the journey, ensuring to use numerical values throughout.

Section A - The car accelerated from 0 to 15 m/s over the first 10 seconds (because the line is straight, the acceleration is constant).

Section B - The line is flat, meaning the car's speed did not change for 10 seconds - meaning it was moving at a constant speed.

Section C - The car accelerated up to 25 m/s over the next 10 seconds,

Section D - Finally it spent the last 20 seconds decelerating back down to 0 m/s.

Skill 2: Calculating Acceleration

Acceleration is calculated as the change in speed over time.

Example: The speed-time graph shows a 50-second car journey, find which section of the graph has the greatest acceleration.

We know,

The gradient of the line = Acceleration

We must find the gradient of the each section.

Section \bf{A}: Acceleration between 0s and 10s = gradient=\dfrac{15-0}{10-0}=1.5 m/s^2

Section \bf{B}: This section is flat, meaning the acceleration will be 0

Section \bf{C}: Acceleration between 20s and 30s = gradient =\dfrac{25-15}{30-20}=1 m/s^2

Section \bf{D}: Acceleration between 30s and 50s = gradient =\dfrac{0-25}{50-30}=\dfrac{-25}{20} = -1.25 m/s^2

Section \bf{A} has the largest acceleration, so the maximum acceleration is 1.5 m/s^2

Note: units of acceleration are expressed in distance/time\bold{^2}, which in this case is m/s\bold{^2}.

Skill 3: Calculating total distance travelled

Calculating the total distance travelled is one of the most common exam questions you may see.

Example: The speed-time graph shows a 50-second car journey, Calculate the total distance travelled over the 50 seconds.

we know,

Area under the graph = Distance travelled

To work out the area under this graph, we will break it into 4 shapes: A, B, C, and D.

This gives two triangles, a rectangle, and a trapezium, which are all shapes that we can work out the area of.

\text{A}=\dfrac{1}{2}\times10 \times15= 75 m

\text{B}=10\times15=150 m

C=\dfrac{1}{2}(15+25)\times10=200 m

D=\dfrac{1}{2}\times20\times25=250 m

Total distance travelled:

75+150+200+250=675 m

Skill 4: Average of curved graphs

Finding the average gradient, is the gradient over a length of time.

Example: A speed-time graph of the first 4 seconds of someone running a race is shown.

Calculate the average acceleration over the 4 seconds.

We know:

The gradient of the line = Acceleration

To work out the average acceleration over the 4 seconds, we will draw a line from where the graph is at 0 s to where the graph is at 4 s and find the gradient of it.

So, we get the average acceleration to be,

\text{gradient}=\dfrac{6-0}{4-0}=1.5 m/s^2

Skill 5: Instantaneous gradient of a curve

Finding the instantaneous gradient, is the gradient of the tangent at a point.

Example: A speed-time graph of the first 4 seconds of someone running a race is shown.

Calculate the instantaneous acceleration 2 seconds in.

To do this we will draw a tangent to the line after 2 seconds and work out the gradient of that. This is shown above.

Then, we get the instantaneous acceleration to be,

\text{gradient}=\dfrac{5.8-3.2}{3.5-1.0} = 1.04 m/s^2 (3 sf).

Velocity-Time Graphs Example Questions

0.1 \times 20=2 m/s

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\text{A}=\dfrac{1}{2}\times10\times15=75 m

\text{C}=\dfrac{1}{2}\times(10+20)\times5=75 m

\text{D}=30\times20 = 600 m

75+62.5+75+600=812.5 m

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Hence the average acceleration is,

\text{gradient}=\dfrac{4-0}{50-0}= 0.08 m/s^2

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Velocity-Time Graphs Questions, Worksheets and Revision

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Revise velocity time graphs for the new Maths course. Velocity-time graph revision for the curriculum. Maths Made Easy questions and worksheets.

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The Corbettmaths Practice Questions on Distance-Time Graphs

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Learning Objectives

By the end of this section, you will be able to:

Identify which equations of motion are to be used to solve for unknowns.

Use appropriate equations of motion to solve a two-body pursuit problem.

You might guess that the greater the acceleration of, say, a car moving away from a stop sign, the greater the car's displacement in a given time. But, we have not developed a specific equation that relates acceleration and displacement. In this section, we look at some convenient equations for kinematic relationships, starting from the definitions of displacement, velocity, and acceleration. We first investigate a single object in motion, called single-body motion. Then we investigate the motion of two objects, called two-body pursuit problems.

Notation

First, let us make some simplifications in notation. Taking the initial time to be zero, as if time is measured with a stopwatch, is a great simplification. Since elapsed time is Δ t=t f−t 0 Δ t=t f−t 0 , taking t 0=0 t 0=0 means thatΔ t=t f Δ t=t f , the final time on the stopwatch. When initial time is taken to be zero, we use the subscript 0 to denote initial values of position and velocity. That is, is the initial position and is the initial velocity. We put no subscripts on the final values. That is, t is the final time, x is the final position, and v is the final velocity. This gives a simpler expression for elapsed time, Δ t=t Δ t=t . It also simplifies the expression for x displacement, which is now . Also, it simplifies the expression for change in velocity, which is now . To summarize, using the simplified notation, with the initial time taken to be zero,

Δ t=t Δ x=x−x 0 Δ v=v−v 0, Δ t=t Δ x=x−x 0 Δ v=v−v 0,

where the subscript 0 denotes an initial value and the absence of a subscript denotes a final value in whatever motion is under consideration.

We now make the important assumption that acceleration is constant. This assumption allows us to avoid using calculus to find instantaneous acceleration. Since acceleration is constant, the average and instantaneous accelerations are equal-that is,

a-=a=constant. a-=a=constant.

Thus, we can use the symbol a for acceleration at all times. Assuming acceleration to be constant does not seriously limit the situations we can study nor does it degrade the accuracy of our treatment. For one thing, acceleration is constant in a great number of situations. Furthermore, in many other situations we can describe motion accurately by assuming a constant acceleration equal to the average acceleration for that motion. Lastly, for motion during which acceleration changes drastically, such as a car accelerating to top speed and then braking to a stop, motion can be considered in separate parts, each of which has its own constant acceleration.

Displacement and Position from Velocity

To get our first two equations, we start with the definition of average velocity:

Substituting the simplified notation for and yields

Solving for x gives us

where the average velocity is

The equation reflects the fact that when acceleration is constant, v- v- is just the simple average of the initial and final velocities. Figure 3.18 illustrates this concept graphically. In part (a) of the figure, acceleration is constant, with velocity increasing at a constant rate. The average velocity during the 1-h interval from 40 km/h to 80 km/h is 60 km/h:

v-==40 km/h+80 km/h 2=60 km/h. v-==40 km/h+80 km/h 2=60 km/h.

In part (b), acceleration is not constant. During the 1-h interval, velocity is closer to 80 km/h than 40 km/h. Thus, the average velocity is greater than in part (a).

Solving for Final Velocity from Acceleration and Time

We can derive another useful equation by manipulating the definition of acceleration:

Substituting the simplified notation for and gives us

a=(constant a). a=(constant a).

Solving for v yields

Calculating Final Velocity

An airplane lands with an initial velocity of 70.0 m/s and then accelerates opposite to the motion at 1.50 m/s ² for 40.0 s. What is its final velocity?

Strategy

First, we identify the knowns: v 0=70 m/s, a=−1.50 m/s 2,t=40 s v 0=70 m/s, a=−1.50 m/s 2,t=40 s .

Second, we identify the unknown; in this case, it is final velocity v f v f .

Last, we determine which equation to use. To do this we figure out which kinematic equation gives the unknown in terms of the knowns. We calculate the final velocity using Equation 3.12, .

Solution

Substitute the known values and solve:

v=v 0+a t=70.0 m/s+(−1.50 m/)(40.0 s )=10.0 m/s. v=v 0+a t=70.0 m/s+(−1.50 m/)(40.0 s )=10.0 m/s.

Figure 3.19 is a sketch that shows the acceleration and velocity vectors.

Significance

The final velocity is much less than the initial velocity, as desired when slowing down, but is still positive (see figure). With jet engines, reverse thrust can be maintained long enough to stop the plane and start moving it backward, which is indicated by a negative final velocity, but is not the case here.

Final velocity depends on how large the acceleration is and how long it lasts

If the acceleration is zero, then the final velocity equals the initial velocity (v = v ₀), as expected (in other words, velocity is constant)

If a is negative, then the final velocity is less than the initial velocity

All these observations fit our intuition. Note that it is always useful to examine basic equations in light of our intuition and experience to check that they do indeed describe nature accurately.

Solving for Final Position with Constant Acceleration

We can combine the previous equations to find a third equation that allows us to calculate the final position of an object experiencing constant acceleration. We start with

Now we substitute this expression for v- v- into the equation for displacement, , yielding

Calculating Displacement of an Accelerating Object

Dragsters can achieve an average acceleration of 26.0 m/s ². Suppose a dragster accelerates from rest at this rate for 5.56 s Figure 3.20. How far does it travel in this time?

Strategy

First, let's draw a sketch Figure 3.21. We are asked to find displacement, which is x if we take to be zero. (Think about as the starting line of a race. It can be anywhere, but we call it zero and measure all other positions relative to it.) We can use the equation when we identify , a a , and t from the statement of the problem.

Solution

First, we need to identify the knowns. Starting from rest means that , a is given as 26.0 m/s ² and t is given as 5.56 s.

Second, we substitute the known values into the equation to solve for the unknown:

Since the initial position and velocity are both zero, this equation simplifies to

Substituting the identified values of a and t gives

x=1 2(26.0 m/s 2)(5.56 s)2=402 m. x=1 2(26.0 m/s 2)(5.56 s)2=402 m.

Significance

If we convert 402 m to miles, we find that the distance covered is very close to one-quarter of a mile, the standard distance for drag racing. So, our answer is reasonable. This is an impressive displacement to cover in only 5.56 s, but top-notch dragsters can do a quarter mile in even less time than this. If the dragster were given an initial velocity, this would add another term to the distance equation. If the same acceleration and time are used in the equation, the distance covered would be much greater.

Displacement depends on the square of the elapsed time when acceleration is not zero. In Example 3.8, the dragster covers only one-fourth of the total distance in the first half of the elapsed time.

If acceleration is zero, then initial velocity equals average velocity (v 0=v-) (v 0=v-) , and

Solving for Final Velocity from Distance and Acceleration

A fourth useful equation can be obtained from another algebraic manipulation of previous equations. If we solve for t, we get

Substituting this and into , we get

Calculating Final Velocity

Calculate the final velocity of the dragster in Example 3.8 without using information about time.

Strategy

The equation v 2=v 0 2+2 a(x−x 0) v 2=v 0 2+2 a(x−x 0) is ideally suited to this task because it relates velocities, acceleration, and displacement, and no time information is required.

Solution

First, we identify the known values. We know that v ₀ = 0, since the dragster starts from rest. We also know that x − x ₀ = 402 m (this was the answer in Example 3.8). The average acceleration was given by a = 26.0 m/s ².

Second, we substitute the knowns into the equation v 2=v 0 2+2 a(x−x 0) v 2=v 0 2+2 a(x−x 0) and solve for v:

v 2=0+2(26.0 m/s 2)(402 m). v 2=0+2(26.0 m/s 2)(402 m).

Thus,

v 2 = 2.09×10 4/s 2 v = 2.09×10 4 m 2/s 2 =145 m/s. v 2 = 2.09×10 4/s 2 v = 2.09×10 4 m 2/s 2 =145 m/s.

Significance

A velocity of 145 m/s is about 522 km/h, or about 324 mi/h, but even this breakneck speed is short of the record for the quarter mile. Also, note that a square root has two values; we took the positive value to indicate a velocity in the same direction as the acceleration.

The final velocity depends on how large the acceleration is and the distance over which it acts.

For a fixed acceleration, a car that is going twice as fast doesn't simply stop in twice the distance. It takes much farther to stop. (This is why we have reduced speed zones near schools.)

Putting Equations Together

In the following examples, we continue to explore one-dimensional motion, but in situations requiring slightly more algebraic manipulation. The examples also give insight into problem-solving techniques. The note that follows is provided for easy reference to the equations needed. Be aware that these equations are not independent. In many situations we have two unknowns and need two equations from the set to solve for the unknowns. We need as many equations as there are unknowns to solve a given situation.

Summary of Kinematic Equations (constant a)

v 2=v 0 2+2 a(x−x 0) v 2=v 0 2+2 a(x−x 0)

Before we get into the examples, let's look at some of the equations more closely to see the behavior of acceleration at extreme values. Rearranging Equation 3.12, we have

Similarly, rearranging Equation 3.14, we can express acceleration in terms of velocities and displacement:

Thus, for a finite difference between the initial and final velocities acceleration becomes infinite in the limit the displacement approaches zero. Acceleration approaches zero in the limit the difference in initial and final velocities approaches zero for a finite displacement.

How Far Does a Car Go?

On dry concrete, a car can accelerate opposite to the motion at a rate of 7.00 m/s ², whereas on wet concrete it can accelerate opposite to the motion at only 5.00 m/s ². Find the distances necessary to stop a car moving at 30.0 m/s (about 110 km/h) on (a) dry concrete and (b) wet concrete. (c) Repeat both calculations and find the displacement from the point where the driver sees a traffic light turn red, taking into account their reaction time of 0.500 s to get their foot on the brake.

Strategy

First, we need to draw a sketch Figure 3.22. To determine which equations are best to use, we need to list all the known values and identify exactly what we need to solve for.

Solution

1. First, we need to identify the knowns and what we want to solve for. We know that v ₀ = 30.0 m/s, v = 0, and a = −7.00 m/s² (a is negative because it is in a direction opposite to velocity). We take x ₀ to be zero. We are looking for displacement Δ x Δ x , or x − x ₀. Second, we identify the equation that will help us solve the problem. The best equation to use is

v 2=v 0 2+2 a(x−x 0). v 2=v 0 2+2 a(x−x 0).

This equation is best because it includes only one unknown, x. We know the values of all the other variables in this equation. (Other equations would allow us to solve for x, but they require us to know the stopping time, t, which we do not know. We could use them, but it would entail additional calculations.) Third, we rearrange the equation to solve forx:

x−x 0=v 2−v 0 2 2 a x−x 0=v 2−v 0 2 2 a

and substitute the known values:

x−0=0 2−(30.0 m/s)2 2(−7.00 m/s 2). x−0=0 2−(30.0 m/s)2 2(−7.00 m/s 2).

Thus,

x=64.3 m on dry concrete. x=64.3 m on dry concrete.

2. This part can be solved in exactly the same manner as (a). The only difference is that the acceleration is −5.00 m/s². The result is

=90.0 m on wet concrete. =90.0 m on wet concrete.

3. When the driver reacts, the stopping distance is the same as it is in (a) and (b) for dry and wet concrete. So, to answer this question, we need to calculate how far the car travels during the reaction time, and then add that to the stopping time. It is reasonable to assume the velocity remains constant during the driver's reaction time. To do this, we, again, identify the knowns and what we want to solve for. We know that v-=30.0 m/s v-=30.0 m/s, =0.500 s =0.500 s , and =0 =0 . We take to be zero. We are looking for . Second, as before, we identify the best equation to use. In this case,x=x 0+v-t x=x 0+v-t works well because the only unknown value is x, which is what we want to solve for. Third, we substitute the knowns to solve the equation:

x=0+(3 0.0 m/s)(0.500 s)=15.0 m. x=0+(3 0.0 m/s)(0.500 s)=15.0 m.

This means the car travels 15.0 m while the driver reacts, making the total displacements in the two cases of dry and wet concrete 15.0 m greater than if he reacted instantly. Last, we then add the displacement during the reaction time to the displacement when braking ( Figure 3.23), and find (a) to be 64.3 m + 15.0 m = 79.3 m when dry and (b) to be 90.0 m + 15.0 m = 105 m when wet.

Significance

The displacements found in this example seem reasonable for stopping a fast-moving car. It should take longer to stop a car on wet pavement than dry. It is interesting that reaction time adds significantly to the displacements, but more important is the general approach to solving problems. We identify the knowns and the quantities to be determined, then find an appropriate equation. If there is more than one unknown, we need as many independent equations as there are unknowns to solve. There is often more than one way to solve a problem. The various parts of this example can, in fact, be solved by other methods, but the solutions presented here are the shortest.

Calculating Time

Suppose a car merges into freeway traffic on a 200-m-long ramp. If its initial velocity is 10.0 m/s and it accelerates at 2.00 m/s ², how long does it take the car to travel the 200 m up the ramp? (Such information might be useful to a traffic engineer.)

Strategy

First, we draw a sketch Figure 3.24. We are asked to solve for time t. As before, we identify the known quantities to choose a convenient physical relationship (that is, an equation with one unknown, t.)

Solution

Again, we identify the knowns and what we want to solve for. We know that x 0=0, v 0=10 m/s ,a=2.00 m/s 2 v 0=10 m/s ,a=2.00 m/s 2 , and x 0=0, x = 200 m.

We need to solve for t. The equation x=x 0+v 0 t+1 2 a t 2 x=x 0+v 0 t+1 2 a t 2 works best because the only unknown in the equation is the variable t, for which we need to solve. From this insight we see that when we input the knowns into the equation, we end up with a quadratic equation.

We need to rearrange the equation to solve for t, then substituting the knowns into the equation:

200 m=0 m+(10.0 m/s)t+1 2(2.00 )t 2. 200 m=0 m+(10.0 m/s)t+1 2(2.00 )t 2.

We then simplify the equation. The units of meters cancel because they are in each term. We can get the units of seconds to cancel by taking t = t s, where t is the magnitude of time and s is the unit. Doing so leaves

We then use the quadratic formula to solve for t,

t 2+10 t−200=0 t=−b±b 2−4 a c 2 a, t 2+10 t−200=0 t=−b±b 2−4 a c 2 a,

which yields two solutions: t = 10.0 and t = −20.0. A negative value for time is unreasonable, since it would mean the event happened 20 s before the motion began. We can discard that solution. Thus,

Significance

Whenever an equation contains an unknown squared, there are two solutions. In some problems both solutions are meaningful; in others, only one solution is reasonable. The 10.0-s answer seems reasonable for a typical freeway on-ramp.

A rocket accelerates at a rate of 20 m/s ² during launch. How long does it take the rocket to reach a velocity of 400 m/s?

Acceleration of a Spaceship

A spaceship has left Earth's orbit and is on its way to the Moon. It accelerates at 20 m/s ² for 2 min and covers a distance of 1000 km. What are the initial and final velocities of the spaceship?

Strategy

We are asked to find the initial and final velocities of the spaceship. Looking at the kinematic equations, we see that one equation will not give the answer. We must use one kinematic equation to solve for one of the velocities and substitute it into another kinematic equation to get the second velocity. Thus, we solve two of the kinematic equations simultaneously.

Solution

First we solve for using

1.0×10 6 m=v 0(120.0 s)+1 2(20.0 m/s 2 )(120.0 s)2 1.0×10 6 m=v 0(120.0 s)+1 2(20.0 m/s 2 )(120.0 s)2

v 0=7133.3 m/s. v 0=7133.3 m/s.

Then we substitute v 0 v 0 into to solve for the final velocity:

v=v 0+a t=7133.3 m/s+(20.0 m/s 2 )(120.0 s)=9533.3 m/s. v=v 0+a t=7133.3 m/s+(20.0 m/s 2 )(120.0 s)=9533.3 m/s.

Significance

There are six variables in displacement, time, velocity, and acceleration that describe motion in one dimension. The initial conditions of a given problem can be many combinations of these variables. Because of this diversity, solutions may not be as easy as simple substitutions into one of the equations. This example illustrates that solutions to kinematics may require solving two simultaneous kinematic equations.

With the basics of kinematics established, we can go on to many other interesting examples and applications. In the process of developing kinematics, we have also glimpsed a general approach to problem solving that produces both correct answers and insights into physical relationships. The next level of complexity in our kinematics problems involves the motion of two interrelated bodies, called two-body pursuit problems.

Two-Body Pursuit Problems

Up until this point we have looked at examples of motion involving a single body. Even for the problem with two cars and the stopping distances on wet and dry roads, we divided this problem into two separate problems to find the answers. In a two-body pursuit problem, the motions of the objects are coupled-meaning, the unknown we seek depends on the motion of both objects. To solve these problems we write the equations of motion for each object and then solve them simultaneously to find the unknown. This is illustrated in Figure 3.25.

The time and distance required for car 1 to catch car 2 depends on the initial distance car 1 is from car 2 as well as the velocities of both cars and the acceleration of car 1. The kinematic equations describing the motion of both cars must be solved to find these unknowns.

Consider the following example.

Cheetah Catching a Gazelle

A cheetah waits in hiding behind a bush. The cheetah spots a gazelle running past at 10 m/s. At the instant the gazelle passes the cheetah, the cheetah accelerates from rest at 4 m/s ² to catch the gazelle. (a) How long does it take the cheetah to catch the gazelle? (b) What is the displacement of the gazelle and cheetah?

Strategy

We use the set of equations for constant acceleration to solve this problem. Since there are two objects in motion, we have separate equations of motion describing each animal. But what links the equations is a common parameter that has the same value for each animal. If we look at the problem closely, it is clear the common parameter to each animal is their position x at a later time t. Since they both start at , their displacements are the same at a later time t, when the cheetah catches up with the gazelle. If we pick the equation of motion that solves for the displacement for each animal, we can then set the equations equal to each other and solve for the unknown, which is time.

Solution

1. Equation for the gazelle: The gazelle has a constant velocity, which is its average velocity, since it is not accelerating. Therefore, we use Equation 3.10 with :

x=x 0+v-t=v-t. x=x 0+v-t=v-t.

Equation for the cheetah: The cheetah is accelerating from rest, so we use Equation 3.13 with and :

x=x 0+v 0 t+1 2 a t 2=1 2 a t 2. x=x 0+v 0 t+1 2 a t 2=1 2 a t 2.

Now we have an equation of motion for each animal with a common parameter, which can be eliminated to find the solution. In this case, we solve for t:

x=v-t=1 2 a t 2 t=2 v-a. x=v-t=1 2 a t 2 t=2 v-a.

The gazelle has a constant velocity of 10 m/s, which is its average velocity. The acceleration of the cheetah is 4 m/s ². Evaluating t, the time for the cheetah to reach the gazelle, we have

t=2 v-a=2(10 m/s)4 m/s 2=5 s. t=2 v-a=2(10 m/s)4 m/s 2=5 s.

2. To get the displacement, we use either the equation of motion for the cheetah or the gazelle, since they should both give the same answer. Displacement of the cheetah:

x=1 2 a t 2=1 2(4 m/s 2)(5)2=50 m. x=1 2 a t 2=1 2(4 m/s 2)(5)2=50 m.

Displacement of the gazelle:

x=v-t=10 m/s(5)=50 m. x=v-t=10 m/s(5)=50 m.

We see that both displacements are equal, as expected.

Significance

It is important to analyze the motion of each object and to use the appropriate kinematic equations to describe the individual motion. It is also important to have a good visual perspective of the two-body pursuit problem to see the common parameter that links the motion of both objects.

A bicycle has a constant velocity of 10 m/s. A person starts from rest and begins to run to catch up to the bicycle in 30 s when the bicycle is at the same position as the person. What is the acceleration of the person?

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3.4 Motion with Constant Acceleration - University Physics Volume 1 | OpenStax

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First, let us make some simplifications in notation. Taking the initial time to be zero, as if time is measured with a stopwatch, is a great simplificat...

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Motion with constant acceleration question

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Motion with constant acceleration question

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Motion with constant acceleration answer

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Motion with constant acceleration answer

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A free falling object is an object that is falling under the sole influence of gravity. Any object that is being acted upon only by the force of gravity is said to be in a state of free fall. There are two important motion characteristics that are true of free-falling objects:

Free-falling objects do not encounter air resistance.

All free-falling objects (on Earth) accelerate downwards at a rate of 9.8 m/s/s (often approximated as 10 m/s/s for back-of-the-envelope calculations)

Because free-falling objects are accelerating downwards at a rate of 9.8 m/s/s, a ticker tape trace or dot diagram of its motion would depict an acceleration. The dot diagram at the right depicts the acceleration of a free-falling object. The position of the object at regular time intervals - say, every 0.1 second - is shown. The fact that the distance that the object travels every interval of time is increasing is a sure sign that the ball is speeding up as it falls downward. Recall from an earlier lesson, that if an object travels downward and speeds up, then its acceleration is downward.

Free-fall acceleration is often witnessed in a physics classroom by means of an ever-popular strobe light demonstration. The room is darkened and a jug full of water is connected by a tube to a medicine dropper. The dropper drips water and the strobe illuminates the falling droplets at a regular rate - say once every 0.2 seconds. Instead of seeing a stream of water free-falling from the medicine dropper, several consecutive drops with increasing separation distance are seen. The pattern of drops resembles the dot diagram shown in the graphic at the right.

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Free Falling objects are falling under the sole influence of gravity. This force explains all the unique characteristics observed of free fall.

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How to read Position- Velocity- acceleration graphs

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How to read Position- Velocity- acceleration graphs

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