Solve the problem and indicate the best of the answer choices given.
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?
从16米的平台落下，反弹了8米，即总共走了24米；然后再从8米落下，重复这一过程，故在工程师接到球之前，球反弹了5次，所以本题应选A项。