A rubber ball is dropped from a height of 2.0m. After each bounce it returns to a height of 2/3 its starting height.
(i) Determine the height the ball returns to after its third bounce.
(ii) What is the ball's velocity just before it bounces the second time?
(iii) From what height would the ball need to be dropped in order to have a speed of 30 m/s just before its first bounce?