A body sliding on a smooth inclined plane requires 4s 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
1s
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B
2s
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C
4s
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D
16s
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Solution
The correct option is B2s As the body takes 4s 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=2s