A ball is projected from the bottom of a tower and is found to go above the tower and is caught by the thrower at the bottom of the tower after a time interval `t_1` . An observer at the top of the tower sees the same ball go up above him and then come back at this level in a time interval `t_2` . The height of the tower is

Options

A. `1/2 "gt"_1 t_2`
B. `("gt"_1t_2)/(8)`
C. `g/8 (t_1^2 - t_2^2)`
D. `g/2 (t_1 - t_2)^2`

Answer

C