230问答网 > 球从高处自由下落，每次接触地面后弹起的高度是前一次下落高度的5分之2.如果球从125米高处落下，

球从高处自由下落，每次接触地面后弹起的高度是前一次下落高度的5分之2.如果球从125米高处落下，

那么第三次弹起的高度是多少米？（要写过程）

2024-12-19 17:48:42

推荐回答（4个）

回答1：

第一次弹起高度125*2/5;
第二次弹起高度(125*2/5)*2/5;
第三次弹起高度[(125*2/5)*2/5]2/5，即125*8/125=8米；
……
第n次弹起高度125*（2/5）^n。

这个球什么时候弹不起来呢？
《庄子》曰：一尺之棰，日取其半，万事不竭。

回答2：

1-2/5=3/5
125*(3/5)*(3/5)*(3/5)=27米

回答3：

是12米

回答4：

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