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

C, D

Explanation

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

(i) `v=(v_(0))+(-mug)t` (ii) `s=v_(0)t+(1)/(2)(-mug)t^(2)`
(iii) `v^(2)=v_(0)^(2)+2(-mug)s rArrv^(2)=- 2mug(s-(v_(0)^(2))/(2mug))`