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Describe and study the changes in the position of objects over time to understand how objects move.

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Kinematics equations and their variables

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Kinematics equations and their variables

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V=V0+at
∆x=(v+v0/2)t
∆x=v0t+1/2at^2
V^2=V0^2+2a∆x
a is acceleration, acceleration is the rate of change of an object's velocity per unit time
V is velocity, Velocity is the ratio of displacement to the time it takes for this displacement to occur
X is displacement, Displacement refers to the movement of a directed line segment from the initial position to the final position
T is time.

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centimeter(cm) kilometer(km) m(meter)
second(s) minute(min) hour(h)
meter per second squared(m/s^2)
meter per second(m/s) kilometers per hour(km/h)

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velocity-time graph

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Examples of kinematics problems and solutions

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Examples of kinematics problems and solutions

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A cyclist is traveling at a constant speed of 10 m/s with a wall in front of him, 50 meters away from the cyclist. How long does it take a rider to come to a complete stop to avoid a collision?

∆x=(v+v0/2)t
50=5t
t=10s
a=-1m/s^2
acceleration should be greater than -1m/s^2

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acceleration-time graphs

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displacement-time graphs

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Examples of kinematics problems and solutions

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Examples of kinematics problems and solutions

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A ball is thrown upward with an initial velocity of 9.8 m/s at 9.8 meters above the ground. How high will the ball go before it starts falling down? How long does it take to land?

V=V0+at
0=9.8-9.8t
t=1s
h=9.8x1-1/2x9.8x1^2=4.9m
∆d=v0t+1/2at^2
24.5=1/2x9.8x t^2
t=√5≈2.236s
t=2.236+1=3.236s