Consider a perfectly spherical raindrop falling through a uniformly moist atmosphere. As the raindrop falls, it acretes the water in the atmosphere that is directly in its path. Hence, its mass grows linearly with the distance it has fallen. The atmospheric drag force retarding its fall is directly proportional the cross sectional area of the drop. Will the drop reach a terminal velocity? Present your arguments without numerical calculations, but rather with references to how the gravitational and drag forces change as the drop falls. Assume the density remains constant and the shape remains spherical.
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