First slide

Rectilinear Motion

Question

A body starting from rest moves with uniform acceleration. The distance covered by the body in time ‘t’ is proportional to …..

Easy

A

$t$
B

$t^{2}$
C

$t^{3}$
D

$t^{1 / 2}$

Solution

Initial velocity $u = 0$
$∴$ from equation $S = u t + \frac{1}{2} a t^{2}$
$\begin{array}{l} \Rightarrow S = \frac{1}{2} a t^{2} \\ \Rightarrow S α t^{2} \end{array}$

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