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A particle moving along straight line has velocity v = µ $s^{2}$ where s is the displacement. If at $t = 0, s = s_{0}$ , then which of the following graph best represent s versus t ?

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Detailed Solution

$v = μ s^{2}$
$\frac{ds}{dt} = μ s^{2}$

$\int_{s_{0}}^{s} \frac{d s}{s^{2}} = μ \int_{0}^{t} d t$

$\frac{1}{s_{0}} - \frac{1}{s} = μ t$

$S = \frac{S_{0}}{(1 - μ S_{0} t)}$
$A s, t \to \frac{1}{μ s_{0}}, s \to \infty$

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