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 $$one-fourth$$ the distance starting from rest at the top?

Question

Infinity Learn · Accepted Answer

When a body slides on an inclined plane, component of weight along the plane produces an acceleration.$$a=mgsin$$θ$$m=g$$ $$sin$$ θ $$=$$ ConstantIf s is the length of the inclined plane, then $$s=0+12at2=12gsin$$θ.$$t2s$$'$$s=t$$'$$2t2or$$  ss'$$=t2t$$'$$2$$, Given t $$=$$ $$4$$ s and s'$$=s4t$$'$$=ts$$'$$s=4s4s=42=2s$$

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 the distance starting from rest at the top?

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