Question

Bradley dropped a ball from a roof 16feet high. Each time the ball hits the ground it bounces 3/5 the previous height. Find the height ball will bounce after hitting the ground the fourth time

Answer 1

Answer: 2.0736 ft

Explanation:

Bounce 1: 16*3/5=9.6

Bounce 2: 9.6*3/5=5.76

Bounce 3: 5.76*3/5=3.456

Bounce 4: 3.456*3/5=2.0736

Answer 2

The ball will bounce to 2.07 feet after 4th drop.

Explanation:

Bradley dropped a ball from a roof 16 feet high. So, its the initial height.

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

Means after 1st drop, the ball will again rise to
`(3)/(5)*16= 9.6` feet.

Similarly after 2nd drop, it will bounce to
`(3)/(5)*9.6=5.76`

After 3rd drop, it will bounce to
`(3)/(5)*5.76=3.456` feet

After 4th drop, it will bounce to
`(3)/(5)*3.456=2.0736` feet

Hence, the ball will bounce to 2.07 feet after 4th drop.