An engineer designed a ball so that when it was dropped, it rose with each bounc

游客2025-02-27 22

问题 An engineer designed a ball so that when it was dropped, it rose with each bounce exactly one-half as high as it had fallen. The engineer dropped the ball from a 16-meter platform and caught it after it had traveled 46.5 meters. How many times did the ball bounce?

选项 A、5
B、6
C、7
D、8
E、9

答案 A

解析 You can approach this problem by just adding up the bounces. It falls 16m, then bounces 8m and drops 8m (now it has traveled 32m), bounces 4m and falls 4m (40m), bounces 2m and falls 2m (44m), bounces 1m and falls 1m (46m), bounces 0.5m and is caught by the engineer. That was 5 bounces.

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