单选题 A certain ball was dropped from a window 8 meters above a sidewalk. On each bounce it rose straight up exactly one-half the distance of the previous fall. After the third bounce the ball was caught when it reached a height of exactly 1 meter above the sidewalk. How many meters did the ball travel in all?
【正确答案】 A
【答案解析】[解析] 该球从窗户上落下共8米,而第一次反弹的高度为4米,来回共8米,第二次反弹的高度为2米,来回共4米,第三次反弹的高度为1米,球在达到第三次反弹的最高点时被抓住,所以该球共走了:
8+4×2+2×2+1=21米。