A ball is projected from a point in one of the two smooth parallel vertical walls against the other in a plane perpendicular to both after being reflected at each wall impinge again on the second at a point in the same horizontal plane as is started. The distance between two walls is a ,b is the free range on a horizontal plane and e be the coefficient of restitution. Then choose the correct options.
A)The total time taken in moving from O to C is [tex]\frac{a}{e^2u} (e^2 + e + 1)\\[/tex]
B) The free range on the horizontal plane b = 2uv/g
C) be² = a(e² + e + 1)
D) All above options are correct