Question

bradley dropped the ball from a roof 16 feet high. Each time the ball hits the ground, it bounces3/5 the previous height. Find the height the ball will bounce after hitting the ground the fourth time.

Answer 1

2.0736 feet

Explanation:

Given,

The height of the roof = 16 feet,

∵ Each time the ball hits the ground, it bounces 3/5 the previous height,

So, the height bouches by ball after first hitting from the ground =
`(3)/(5)(16)` feet,

In the second time, height =
`(3)/(5)((3)/(5)(16))`

In third time, height =
`(3)/(5)((3)/(5)((3)/(5)(16))`

In fourth time, height =
`(3)/(5)((3)/(5)((3)/(5)((3)/(5)(16))))`

`=(3* 3* 3* 3* 16)/(5* 5* 5* 5)`

`=(1296)/(625)`

`=2.0736\text{ ft}`

Answer 2

The height the ball will bounce after hitting the ground the fourth time = 2.0736ft

Explanation:

According to the given statement Bradley dropped the ball from a roof 16 feet high.Each time the ball hits the ground, it bounces3/5 the previous height

Therefore,

First bounce = 16*3/5 = 9.6

Second bounce = 9.6 *3/5 = 5.76

Third bounce = 5.76*3/5=3.456

Fourth bounce = 3.456*3/5=2.0736

The height the ball will bounce after hitting the ground the fourth time = 2.0736ft....