A body starts from rest on a long inclined plane of slope $45^o$ . The coefficient of friction between the body and the plane varies as $\mu = 0.3\,x$ . where $x$ is distance travelled down the plane. The body will have maximum speed ( for $g = 10\,m/s^2$ ) when $x=$ ........ $m$
JEE MAIN 2013, Medium
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When the body has maximum speed then
$\mu = 0.3\,x\,=\,tan\,45^o$
$\therefore x=3.33\,m$
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