Solved: When a raindrop falls, it increases in size and so its mass at time t is a
Chapter 9, Problem 49(choose chapter or problem)
When a raindrop falls, it increases in size and so its mass at time t is a function of t, namely, mstd. The rate of growth of the mass is kmstd for some positive constant k. When we apply Newtons Law of Motion to the raindrop, we get smvd9 tm, where v is the velocity of the raindrop (directed downward) and t is the acceleration due to gravity. The terminal velocity of the raindrop is limtl` vstd. Find an expression for the terminal velocity in terms of t and k.
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