Question

A ball is dropped from a height of 25 feet and allowed to continue to bounce until it eventually comes to a rest. Each time the ball bounces it rebounds to 45 of its previous height.

After which bounce is the ball's rebound height 10.24 ft?

Answer 1

On the nth bounce it rises to a height of 25 * 0.45^n

so, solve for n in

25*.45^n = 10.24

You sure there's no typo?
25*.45 = 11.25
11.25*.45 = 5.06

Answer 2

Small typo it rebounds to 4/5 of its previous height

Answer 3

oh. well, then change the formula and solve for n.

Answer 4

A ball is dropped from a height of 25 feet and allowed to continue to bounce until it eventually comes to a rest. Each time the ball bounces it rebounds to 45 of its previous height.

After which bounce is the ball's rebound height 10.24 ft?

Bounce 3
Bounce 5
Bounce 4
Bounce 6

Answer 5

bounce 4