Suppose you drop a tennis ball from a height of 14 feet. After the ball hits the floor, it rebounds to 80% of its previous height. How high will the ball rebound after its third bounce? Round to the nearest tenth.

Question

Sonia Bradshaw

Mathematics

18 August, 20:30

Suppose you drop a tennis ball from a height of 14 feet. After the ball hits the floor, it rebounds to 80% of its previous height. How high will the ball rebound after its third bounce? Round to the nearest tenth.

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Answers (1)

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Bush · Answer 1

This is a geometric sequence of the form:

a (n) = ar^n, a=initial value, r=common ration, n=term number, if we relabel it for h (b) we have

h (b) = 14 (0.8^b)

h (3) = 14 (0.8^3)

h (3) ≈7.2 ft (to nearest tenth of a foot)