When a raindrop falls, it increases in size and so its mass at time is a function of t, 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 is the velocity of the raindrop (directed downward) and g is the acceleration due to gravity. The terminal velocity of the raindrop is lim t→∞ v (t). Find an expression for the terminal velocity in terms of g and k.