A body sliding on a smooth inclined plane requires 4 seconds to reach bottom starting from rest at t

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2.Motion in Straight Line

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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

$16$

Solution

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

Hence $t \propto \sqrt S $

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

Standard 11

Physics

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