Kinetic friction

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Question

A car starts from rest to cover a distance S. The coefficient of friction between the road and the tyre is $μ .$ The minimum time in which the car can cover the distance S is proportional to

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Solution

$Force on the ca r F = μmg \Rightarrow a = μg Now, S = 0 \times t + \frac{1}{2} (μg) t^{2} \Rightarrow t = \sqrt{\frac{2 s}{μg}} \Rightarrow t α 1 / \sqrt{μ}$

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