A ball is projected vertically up such that it passes thorugh a fixed point after a time `t_(1)` and `t_(2)` respectively. Find
a. The height at which the point is located with respect to the point of projeciton
b. The speed of projection of the ball.
c. The velocity the ball at the time of passing through point `P`.
d. (i) The maximum height reached by the balll relative to the point of projection `A` (ii) maximum height reached by the ball relative to point `P` under consideration.
e. The average speed and average velocity of the ball during the motion from `A` to `P` for the time `t_(1)` and `t_(2)` respectively.
.

Options

A. `g[t_(2)-t_(1)]`
B. `(g[t_(1)+t_(2)])/(2)`
C. `(g[t_(2)-t_(1)])/(2)`
D. `g[t_(1)+t_(2)]`

Answer

B