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When a raindrop falls it increases in size and so its mass at time t...

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Algebra

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When a raindrop falls it increases in size and so its mass at time t is a function of t namely m t The rate of growth of the mass is km t for some positive constant k When we apply Newton s law of motion to the raindrop we get mv gm 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 lim v t t18 Find an expression for the terminal velocity in terms of g and k lim v t t18

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