20 derive the second equation of motion S is equal to UT Plus 1/2 at 2 numerically

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Solution

Dear student
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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Similar questions

s = u t + \frac{1}{2} a t^{2}

(v^{2} - u^{2} = 2 a s)

(v = u + a t

s = u t + \frac{1}{2} a t^{2})

The correct equation of motion is :

(a) v=u+aS (b) v=ut+a

s = u t + \frac{1}{2} a t^{2}

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