Question
Write an expression for the distance S covered in time t by a body which is initially at rest and starts moving with a constant acceleration a.

Answer

Distance $= s$, time $= t$, initial velocity $u =0$ and acceleration $= a$.
Using the second equation of motion and substituting the above values we get,
$ s=u t+(1 / 2) a t^2$
$s=\frac{1}{2} a t^2 $

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