A block resting on a rough horizontal surface. A sharp horizontal impulse is applied on the block at `t=0`. If at an instant `t`, its velocity be `v` and displacement up to this instant be `s`, then which of the following graphs is`//`are correct?

Options

A.
B.
C.
D.

Answer

B, C

Explanation

Let the initial velocity of the block be `v_(0)` due to the impact . Also , the retardation of the block is `mu` g , where ` mu` is the coefficient of friction between block and surface .

(i) `v_(0) = (v_(0)) + (- mu g) t " " (ii) s = v_(0)t + (1)/(2) (-mu g )t^(2-)`
(iii) ` v^(2) = v_(0)^(2) + 2(-mu g) s implies " " v^(2) = -2 mu g ( s - (v_(0)^(2))/(2 mu g))`