A raindrop of initial mass Mo starts falling from rest under the influence of gravity. Assume that the drop gains mass at a rate proportional to the product of its instantaneous mass and its instantaneous velocity:(adsbygoogle = window.adsbygoogle || []).push({});

dM/dt = kMV

where k is a constant. Show that the speed of the drop eventually becomes effectively constant, and give an expression for the terminal speed. Neglect air resistance.

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# Raindrop physics problem

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