题目内容
某物体做直线运动,遵循的运动方程为x=6t-t2(其中,x单位为m,t单位为s)。则该物体在0~4s时间内经过的路程为( )
A.8m | B.9m | C.10m | D.11m |
C
由匀变速直线运动的位移公式
知,物体的初速度
,
,故由速度公式
,得3s末速度为零,4s末的速度为
,则0-3s的路程
,3-4s做反向的匀加速直线运动,则的路程为
,所以0~4s时间内经过的路程为
,故选C.
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824130451251918.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824130451267798.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824130451283831.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824130451298617.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824130451345749.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824130451361609.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824130451407597.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824130451439748.png)
![](http://thumb2018.1010pic.com/images/loading.gif)
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