CIE A Level Physics (9702) 2019-2021

Revision Notes

3.1.6 Deriving Kinematic Equations of Motion

Deriving Kinematic Equations of Motion

  • The kinematic equations of motion are a set of four equations which can describe any object moving with constant acceleration
  • They relate the five variables:
    • s = displacement
    • u = initial velocity
    • v = final velocity
    • a = acceleration
    • t = time interval
  • It’s important to know where these equations come from and how they are derived:

Deriving v=u+at, downloadable AS & A Level Physics revision notes

A graph showing how the velocity of an object varies with time

Deriving s=(u+v)t 2, downloadable AS & A Level Physics revision notes

The average velocity is halfway between u and v

 

Deriving s=ut+12at2, downloadable AS & A Level Physics revision notes

The two terms ut and ½at2 make up the area under the graph

Deriving v2=u2+2as, downloadable AS & A Level Physics revision notes

This final equation can be derived from two of the others

Summary of equations, downloadable AS & A Level Physics revision notes

Summary of the four equations of uniformly accelerated motion

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