?Terminal Velocity When a raindrop falls, it increases in size and so its mass at time

Chapter 8, Problem 51

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Terminal Velocity When a raindrop falls, it increases in size and so its mass at time  is a function of , namely,  The rate of growth of the mass is  for some positive constant . When we apply Newton's Law of Motion to the raindrop, we get , where  is the velocity of the raindrop (directed downward) and  is the acceleration due to gravity. The terminal velocity of the raindrop is . Find an expression for the terminal velocity in terms of  and .

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