When a raindrop falls, it increases in size and so its mass at time is a function of ,
Chapter 9, Problem 41(choose chapter or problem)
When a raindrop falls, it increases in size and so its mass at time is a function of , . The rate of growth of the mass is for some positive constant . When we apply Newtons 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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