A body sliding on a smooth inclined plane

Your Ultimate Guide to JEE & NEET Question Solutions

A body sliding on a smooth inclined plane requires $4$ seconds to reach the bottom starting from rest at the top. How much time does it take to cover one-fourth distance starting from rest at the top.............$s$

A

$1$

B

$2$

C

$4$

D

$16$

A body sliding on a smooth inclined plane requires $4$ seconds to reach the bottom starting from rest at the top. How much time does it take to cover one-fourth distance starting from rest at the top.............$s$

$S = ut + \frac{1}{2}a{t^2} = 0 + \frac{1}{2}a{t^2}$

Hence $t \propto \sqrt S $

i.e., if $S$ becomes one-fourth then $t$ will become half i.e., $2 \,sec$