Two balls are dropped from the top of a hight tower with a time interval of `t_(0)`. Second , where `t_(0)` is smaller than the time taken by the first ball to reach the ground which is perfectly inelastic. The distance `S` between the two balls plotted against the time lapse `t` from the instant of dropping the second ball, is best tepresented by.

Options

A. .
B. .
C. .
D. .

Answer

D

Explanation

Before the second ball is dropped, the first ball would have travelled some distance say `S_(0) =(1)/(2) g t_(0)^(2)`. After deropping the second ball, the relative acceleration of bothballs becomes zero. So destances between them increase linearly. After some time the first ball will collide with the ground and the distance between them will atart decreasing and the magnitude of relative velocity will be inreasing for this time. Option `d` represents all these clearly.