Question

A ball is dropped from 256 feet above the ground. It bounces 1/4 as high as it fell.This is true for each successive bounce. What height will the ball reach on the third bounce?

Answer 1

On the third bounce, it will bounce (1/4)*(1/4)*(1/4) = (1/4)^3 times as high.

This means it will bounce up to 256*1/64 = 4 feet high.