A projectile is fixed on a horizontal ground. Coefficient of restitution between the projectile and the ground is 'e'. If `a,b` and `c` be the ration of time of flight `[(T_(1))/(T_(2))]`, maximum height `[(H_(1))/(H_(2))]` and horizontal range `[(R_(1))/(R_(2))]` in first two collisions with the ground, then

Options

A. `a = (1)/( e)`
B. `b = (1)/(e^(2))`
C. `c = (1)/( e)`
D. `1,2, & 3`

Answer

D

Explanation

`T_(n) = e^(n) T` , `H_(n) = e^(2n) xx H` , `R_(n) = e^(n) R`.