名校
1 . 数学与物理关系密切.根据瞬时变化率的相关知识,我们可以从数学角度给出瞬时加速度的定义:设某运动物体的速度关于时间的函数为
,则称
为该物体在
时刻的加速度.已知如图,
时,物体
与
间的细绳呈水平状态,
到滑轮的距离为
, 现控制
以速度
沿竖直杆匀速下滑,经细绳通过定滑轮拉动物体
在水平面运动.根据物理知识可以求得经过时间
,物体
的速度为
, 则物体
在
时刻的加速度为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20b530a5a8860c72cb1580f8dcc67eb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a04cf7cd47a2c84a7814af09536c1d38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d9fd58e71dcae6cafaf9037d20ebd76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7aeb9a94e392f6759b18abed89aacc5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c88d9142df6ba8e43c1a93bd04a1362.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f58888df91890a19a1aa7511d19703f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52cccb80d7bae485981a96b6f799e590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ed3fd029b6943ee30f2220eff80a938.png)
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