搜搜做题作业网一道英文物理题A rock falls through water with a continuously decrea
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一道英文物理题
A rock falls through water with a continuously decreasing acceleration.Assume that the rock's acceleration as a function of velocity has the form ay = g - bvy where b is a positive constant.(The +y direction is directly downward.)Prove mathematically that if the rock is released from rest at time t = 0,the acceleration will depend exponentially on time according to ay(t) = ge-bt.
要翻译的话说下，
最后是个指数函数ay(t) = ge^-bt，上标没了。所有的y都是位于a的下方表示方向，没有实际意义.
A rock falls through water with a continuously decreasing acceleration.Assume that the rock's acceleration as a function of velocity has the form ay = g - bvy where b is a positive constant.(The +y direction is directly downward.)Prove mathematically that if the rock is released from rest at time t = 0,the acceleration will depend exponentially on time according to ay(t) = ge-bt.
要翻译的话说下，
最后是个指数函数ay(t) = ge^-bt，上标没了。所有的y都是位于a的下方表示方向，没有实际意义.
为什么时间为零时,加速度还与时间有关,加速度不就是g么.如果是全程的话,加速度对时间的一次积分就是速度,根据ay=g-bvy,得出一个常微分方程,然后解一下就出来了
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