MathDB
2008 AMC 8 Problem 12

Source:

June 25, 2011

Problem Statement

A ball is dropped from a height of 33 meters. On its first bounce it rises to a height of 22 meters. It keeps falling and bouncing to 23\frac{2}{3} of the height it reached in the previous bounce. On which bounce will it not rise to a height of 0.50.5 meters? <spanclass=latexbold>(A)</span> 3<spanclass=latexbold>(B)</span> 4<spanclass=latexbold>(C)</span> 5<spanclass=latexbold>(D)</span> 6<spanclass=latexbold>(E)</span> 7<span class='latex-bold'>(A)</span>\ 3 \qquad <span class='latex-bold'>(B)</span>\ 4 \qquad <span class='latex-bold'>(C)</span>\ 5 \qquad <span class='latex-bold'>(D)</span>\ 6 \qquad <span class='latex-bold'>(E)</span>\ 7