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.............$s$
$1$
$2$
$4$
$16$
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., $2 \,sec$