A ballllllllllll

Question

A bouncing ball rebounds to 0.75 of its height on each bounce. the ball was dropped from a height of 30 meters. What would be it’s height for the fifth bounce?

Answer 1

The ball's height is:

30 meters before the first bounce

30(0.75) meters before the second bounce

30(0.75)² meters before the third bounce

30(0.75)³ meters before the fourth bounce

30(0.75)⁴ meters before the fifth bounce

If "for the fifth bounce" means before the fifth bounce, then the ball is falling from a height of 30(0.75)⁴ ≈ 9.49 meters. If "for the fifth bounce" means after the fifth bounce, then the ball is rising to a height of 30(0.75)⁵ ≈ 7.12 meters.

Answer 2

The bouncing ball height after the 5th bounce would be 30(.75)⁵ = 7.12 meters