题目内容
一位蹦床运动员仅在竖直方向上运动,弹簧床对运动员的弹力
随时间
的变化规律通过传感器用计算机绘制出来,如图1-3-6所示,取重力加速度g=10m/s2.试结合图象,求运动员在运动过程中:
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241136352761510.gif)
(1)跳起的最大高度,起跳时的初速度;
(2)最大加速度.
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824113635198194.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824113635229185.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241136352761510.gif)
(1)跳起的最大高度,起跳时的初速度;
(2)最大加速度.
(1)
;(2)![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824113635323407.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824113635292387.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824113635323407.gif)
(1)将运动员在空中近似看作竖直上抛运动,从图中可看出运动员在空中运动的时间为
,所以
故运动员离开蹦床时的初速度为
.(2)
,
,
.
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824113635338375.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824113635354760.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824113635370581.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824113635385498.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824113635401479.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824113635432468.gif)
![](http://thumb2018.1010pic.com/images/loading.gif)
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