A vehicle of mass m is moving on a rough h

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A vehicle of mass $m$ is moving on a rough horizontal road with momentum $P$. If the coefficient of friction between the tyres and the road be $\mu$, then the stopping distance is

A

$\frac{P}{{2\mu \,m\,g}}$

B

$\frac{{{P^2}}}{{2\mu \,m\,g}}$

C

$\frac{P}{{2\mu \,m{\,^2}g}}$

D

$\frac{{{P^2}}}{{2\mu \,m{\,^2}g}}$

A vehicle of mass $m$ is moving on a rough horizontal road with momentum $P$. If the coefficient of friction between the tyres and the road be $\mu$, then the stopping distance is

$$ $S = \frac{{{u^2}}}{{2\mu g}} = \frac{{{m^2}{u^2}}}{{2\mu g{m^2}}} = \frac{{{P^2}}}{{2\mu {m^2}g}}$