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?

When a body slides on an inclined plane, component of weight along the plane produces an acceleration.a=mgsin⁡θm=gsin⁡θ= Constant If s is the length of the inclined plane, then s=0+12at2=12gsin⁡θ×t2s′s=t′2t2 or ss′=t2t′2Given t=4s and s′=s4   t′=ts′s=4s4s=42=2s