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4) Assume that a water droplet falling through a humid atmosphere gathers up mass at a rate that is proportional to its momentum, =

4) Assume that a water droplet falling through a humid atmosphere gathers up mass at a rate that is proportional to its momentum, = cmv where v is its speed and c is a constant with units of m1. a) What is its terminal velocity? dm dt b) Find its speed as a function of time, assuming that the droplet starts from rest.

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