Question

A ball is dropped from a height of 10 ft. and bounces 84% of it's previous height on each bounce. How high off the ground is the ball at the top of the 6th bounce?the ball will bounce ____ ft on the 6th bounce.

Answer 1

At the end of the sixth bounce, the ball will be 3.513 ft high off the ground

Step-by-step explanation:

Given the initial height of the ball to be 10 ft

it bounces 84% of the previous height

Since the initial height of the ball is 10ft. Hence, the first bounce will be

First bounce = 84/100 x 10

First bounce = 0.84 x 10

First bounce = 8.4ft

Second bounce = 84/100 x 8.4

Second bounce = 0.84 x 8.4

Second bounce = 7.056ft

Third bounce = 84/100 x 7.056

Third bounce = 0.84 x 7.056

Third bounce = 5.927ft

Fourth bounce = 84/100 x 5.927

Fourth bounce = 0.84 x 5.927

Fourth bounce = 4.979ft

Fifth bounce = 84/100 x 4.979

Fifth bounce = 0.84 x 4.979

Fifth bounce = 4.182ft

Sixth bounce = 84/100 x 4.182

Sixth bounce = 0.84 x 4.182

Sixth bounce = 3.513 ft

At the end of the sixth bounce, the ball will be 3.513 ft high off the ground