A ball is projected from point O on the ground. It hits a smooth vertical wall AB at a height h and rebounds elastically. The ball finally lands at a point C on the ground. During the course of motion, the maximum height attained by the ball is H.

(a) Find the ratio `(h)/(H)` if `(OA)/(OC) = (1)/(3)`
(b) Find the magnitude of average acceleration of the projectile for its entire course of flight if it was projected at an angle of `45^(@)` to the horizontal.

Answer

(a) `(16)/(25)` (b) `sqrt(2)g`