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 ont-foruth the distance startion from rest at the top?

Options

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

Answer

B

Explanation

`s = (1)/(2) (g sin theta) t^(2) = (1)/(2) xx 10 xx sin theta xx 16`
`s = 80 sin theta`....(i) ltbr. `(s)/(4) = (1)/(2) xx (g sin theta) xx (t')^(2)`

`(80 sin theta)/(4) = (1)/(2) xx 10 xx sin theta xx (t')^(2)`
`:. (t')^(2) = 4`
`:. t' = 2s`