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

Options

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

Answer

C

Explanation

Here, u = 0, `S = 1/2at^(2)` or `S propto t^(2)`
`therefore t_1/t_2 = sqrt S/4 / S = 1/2` or `t_1 = 1/2 xx 4` = 2 s