题目内容
做匀加速直线运动的物体途中依次经过A、B、C三点,已知AB=BC=
,AB段和BC段的平均速度分别为
=3m/s、
=6m/s,则
(1)物体经B点时的瞬时速度
为多大?
(2)若物体运动的加速度a=2m/s2,试求AC的距离![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824234810056280.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824234805298398.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824234806218298.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824234807544330.png)
(1)物体经B点时的瞬时速度
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824234808839351.png)
(2)若物体运动的加速度a=2m/s2,试求AC的距离
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824234810056280.png)
(1) 5m/s (2)12m
试题分析::(1)设加速度大小为a,经A、C的速度大小分别为
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824234811226460.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824234812349858.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824234813644847.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824234815157655.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824234816546671.png)
联立可得:
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824234817887961.png)
(2)由上还可计算出:
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824234819182597.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824234820243609.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824234821038708.png)
代入
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824234821631617.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824234823020521.png)
![](http://thumb.zyjl.cn/images/loading.gif)
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