A rubber ball is dropped onto a hard surface from a height of 8 feet, and it bounces up and down. At each bounce it rises to 90% of the height from which it fell.

a. Find a formula for h (n), the height in inches reached by the ball on bounce n.

h (n) = ?

b. How high will the ball bounce on the 14th bounce? (in inches)

c. How many bounces before the ball rises no higher than an inch?

Question

8 November, 02:38

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Answers (1)

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Jakob Hubbard · Answer 1

A. 8 feet * 0.9 = distance after first bounce

h (n) = 8 * 0.9^n

b. 8 * 0.9^14 = 1.83 feet to 2 d. p.

1.83 * 12 = 21.96 inches