Question: 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

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 Newton’s 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 limt l ` vstd. Find an expression for the terminal velocity in terms of t and k.

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