GRAPHS & EQUATIONS OF MOTION GR10 - STUDY OF MOTION by Lizelle Swanepoel

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STATES OF MOTION

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An object's state of motion is defined by its VELOCITY.

STATIONARY

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CONSTANT VELOCITY

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ACCELERATION (POSITIVE)

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DECELERATION (NEGATIVE ACCELERATION)

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FOUR STATES OF MOTION

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Stationary
Constant velocity
Acceleration
Deceleration

Work through this PPT

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GRAPHS OF MOTION FOR 4 STATES OF MOTION

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Negative acceleration = deceleration

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ANALYSIS OF MOTION GRAPHS

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TELL A STORY OF THIS GRAPH - what is the state of motion in each section of the graph

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Describe the motion of this graph:

POSITION-TIME GRAPHS

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REVIEW

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Describe how to make a position-time graph.
What does the slope of a position-time graph represent?
In Graph 1 in the Figure above, what is the object’s average velocity?
Average velocity equals the change in position (represented by Δd) divided by the change in time (represented by Δt).
velocity=Δx/Δt

CK12 PLIX - PLAY LEARN INTERACT XPLORE

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UNIFORM VELOCITY

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CONSTANT ACCELERATION

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a = +

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UNIFORM NEGATIVE ACCELERATION

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a = -

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Summary

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A velocity-time graph shows changes in velocity of a moving object over time.
The slope of a velocity-time graph represents acceleration of the moving object.

PLIX (v-t graphs)

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https://www.ck12.org/assessment/ui/?test/detail/practice/physics/Velocity-vs-Time-Graphs-Practice&isPageView=true&collectionHandle=physics&collectionCreatorID=3&conceptCollectionHandle=physics-::-velocity-vs-time-graphs&ep=https://www.ck12.org/c/physics/position-vs-time-graphs/asmtpractice//Position-vs-Time-Graphs-Practice/

AREA UNDER v-t GRAPHS

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ACCELERATION VS TIME GRAPHS

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Application of x,v,a gradient and area under graph

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Worked example:

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NOTES

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ACCELERATION: CAN YOU PERCEIVE IT?

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CK12 SIMULATION - graphs of motion

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DO THESE TWO PRACTICE CHALLENGES

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PRACTICE GOAL
PLIX CHALLENGE

INFROMATION IN POSTS BELOW:

PRACTICE GOAL - UNIFORM ACCELERATION ON BRAINGENIE CK12

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Do 10 practice problems on acceleration by clicking the embedded link (starting with

Then get in the game by clicking on the Preview button.
Good luck!

ACCELERATION PLIX CHALLENGE - DO 6 QUESTIONS

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Do the PLIX CHALLENGE by opening the embedded link (starting with

SUMMARY OF UNIFORM ACCELERATION

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Zero acceleration (stationary of constant velocity)
Positive acceleration
Negative acceleration

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EXAMPLE

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HOMEWORK

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EXERCISE 1.3 (ALL QUESTIONS)

UAM EQUATIONS (UNIFORMLY ACCELERATED MOTION)

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DERIVING 1ST EQUATION

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DERIVING THE 2ND EQUATION

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EQUATIONS OF MOTION

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New school

SUMMARY:

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ANSWERS EX 1.3

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EXERCISE 2.1

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Please use this to mark your homework.

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EXERCISE 2.2

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HOMEWORK

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END OF CHAPTER EXERCISE TO THE END

ANSWERS

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DEFINITIONS RECAP

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Vector: A physical quantity which has both magnitude (size) and direction.
Scalar: A physical quantity which has magnitude (size) only.
Resultant vector: The single vector which has the same effect as the original vectors acting together.
Distance: Length of path travelled.
Position: Define position relative to a reference point and understand that position can be positive or negative. Know that position is a vector quantity that points from the reference point as the origin.
Displacement: A change in position.
Speed: The rate of change of distance and know that speed is a scalar quantity
Velocity: The rate of change of position or rate of displacement and know that velocity is a vector quantity.
Acceleration: The rate of change of velocity.

You must also be able to distinguish between average velocity and instantaneous velocity.

What you need to know for this section (from the SAG’s):

Graphs of Motion
For either horizontal motion or vertical motion with constant acceleration:
- Draw position vs time, velocity vs time and acceleration vs time graphs for one
dimensional motion

Interpret graphs of motion:
Determine the velocity of an object from the gradient of a position (or displacement) vs time graph
Determine the acceleration of an object from the gradient of a velocity vs time graph
Determine the displacement of an object by finding the area under a velocity vs time graph

Equations of Motion
Use equations of motion to solve problems involving either horizontal motion or vertical motion with constant acceleration.

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Answers - Equations of motion

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Answers - Equations of motion