Question

a ball is dropped from a height of 2r1/3 meters. It bounces to 3/4 of the height from which it fell at each boune.
A) determine the height the ball reaches after one bounce.
B) how many bounces does it take to bounce less than 1 meter high??

Answer 1

I assume you mean that each bounce is 3/4 the height of the previous one.

3/4 * 7/3 = 7/4

The nth bounce is
Bn = 28/9 * (3/4)^n

Bn < 1: n >= 4

Answer 2

28/9