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Stone Dropped Into Well

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February 1, 2009
AMCAIME

Problem Statement

A stone is dropped into a well and the report of the stone striking the bottom is heard 7.7 7.7 seconds after it is dropped. Assume that the stone falls 16t2 16t^2 feet in t t seconds and that the velocity of sound is 1120 1120 feet per second. The depth of the well is: <spanclass=′latex−bold′>(A)</span> 784 ft.<spanclass=′latex−bold′>(B)</span> 342 ft.<spanclass=′latex−bold′>(C)</span> 1568 ft.<spanclass=′latex−bold′>(D)</span> 156.8 ft.<spanclass=′latex−bold′>(E)</span> none of these <span class='latex-bold'>(A)</span>\ 784 \text{ ft.} \qquad<span class='latex-bold'>(B)</span>\ 342 \text{ ft.} \qquad<span class='latex-bold'>(C)</span>\ 1568 \text{ ft.} \qquad<span class='latex-bold'>(D)</span>\ 156.8 \text{ ft.} \qquad<span class='latex-bold'>(E)</span>\ \text{none of these}
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