If a constant force acts on a body initially at rest, the distance moved by the body in time $t$ is proportional to:

\frac{1}{t}

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t

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t^{2}

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t^{3}

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Solution

The correct option is C $t^{2}$
$F = m a = constant$
$⟹ a = constant$

Given $u = 0$
For uniform acceleration,
$s = u t + \frac{1}{2} a t^{2}$
$s = \frac{1}{2} a t^{2}$
$s \propto t^{2}$

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