Question

Each time a certain ball hits the ground, it bounces up 2/3 of its previous height. If the ball is dropped from 27 inches off the ground, what will be the height of the ball after the third bounce? *

Answer 1

Height of ball after 3rd bounce = 8 inch

Explanation:

Given:

Height of ball dropped = 27 inch

Bounces = 2/3 of previous height

Find:

Height of ball after 3rd bounce

Computation:

Height of ball after 1st bounce = 27[2/3]

Height of ball after 1st bounce = 18 inch

Height of ball after 2nd bounce = 18[2/3]

Height of ball after 2nd bounce = 12 inch

Height of ball after 3rd bounce = 12[2/3]

Height of ball after 3rd bounce = 8 inch