A ball is projected with velocity of `20 sqrt(2)` m/s at angle of `45^(@)` with horizontal and at the same instant another plate is rotating with constant angular velocity `omega(omega = pi//4 "rad/sec")` in vertical plane as shown in the figure. If the mass of the plate is much larger than the mass of the ball, the plate is initially in horizontal position and collision is perfectly elastic, then choose the correct statement(s)

Options

A. Time when the ball collides with the place is 2 (St unit)
B. Velocity of the ball just after collision with the plate is `10(2+pi)` (Sl unit)
C. Position of ball when it again collides on the ground surface from the projection point `20 pi` (Sl unit).
D. Maximum height achieved by the ball is 20 (Sl unit)

Answer

A, B, C, D