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When a body s...

Question

When a body starts from rest, the acceleration of the body after 2 seconds is _____of its displacement.

A

Half

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B

Twice

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C

Four times

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D

One-fourth

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Solution

The correct option is A Half
Initial speed of the body $u = 0$
Displacement in 2 seconds $S = u t + \frac{1}{2} a t^{2}$
$⟹ S = 0 + \frac{1}{2} a (2)^{2} = 2 a$
$⟹ a = \frac{S}{2}$

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