# 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:

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

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