Question

A bouncy ball is dropped such that the height of its first bounce is 6.25 feet and each successive bounce is 74% of the previous bounces height. What would be the height of the sixth bounce the ball

Answer 1

Step-by-step explanation

The heigth of the first bounce is 6.25 feet

Each successive bounce is 74% of the previous bounces height

For the first bounce, the ball hit a height of 6.25 feet

The first successive bounce = 74% of the previous bounce

The previous bounce = 6.25 feets

Hence, 74% x 6.25 = Next successive bounce

The next successive bounce = 74/100 x 6.25

The next succesive bounce = 0.74 x 6.25

= 4.625 feets

For the next successive bounce

The previous successive bounce = 4.625 feets

The next successive bounce = 74% x 4.625

The next successive bounce = 0.74 x 4.625

The second successive bounce = 3.4225 feets

For third successive