A ball is dropped from 346 feet. If it rebounds 1/3 of the height from which it falls every time it hits the ground, how far will it have traveled in a downward direction when it hits the ground for the fifth time? Round your
Answer to the nearest tenth of a foot.
A) 527.0 feet
B) 510.5 feet
C) 516.9 feet
D) 522.0 feet

Question

Quizplus · Accepted Answer

The ball travels 346 feet initially. Each rebound is 1/3 of the previous height, so the sequence of downward travels is 346 + 2*(346/3) + 2*(346/9) + 2*(346/27) + 2*(346/81). Calculating this gives approximately 516.9 feet.

A Ball Is Dropped from 346 Feet