GCSE Physics

s = ut + ½ at²

So far we have the equations: v = u + at and s = ½ (u+v) t

The second can be useful for finding displacement. However, if we don't know the final velocity, it's useless.

We could first work out v from "v = u + at". But let's be radical and substitute "v = u + at" into the second equation!

s = ½ (u + v) × t
s = ½ (u + u + at) × t
s = ut + ½ at²

A third equation, useful for finding displacement when you know the initial velocity, time and acceleration.


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