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Question

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

A
1 s
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B
2 s
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C
4 s
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D
16 s
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Solution

The correct option is B 2 s
As the body takes 4 s to reach the bottom from the top, let the distance covered by it be l.

Using 2nd equation of kinematics:
s=ut+12at2, here u=0, s=l
l=12a(4)2
a=l/8

Now lets say, body takes t time to cover one-fourth distance from the top. Then,
l4=12a(t)2
l4=12.l8.(t)2
(t)2=4
t=2 s

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