Deriving Kinematic Equations (CIE A Level Physics)

• 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:

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

The average velocity is halfway between u and v

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

This final equation can be derived from two of the others

Summary of the four equations of uniformly accelerated motion