A water droplet falling in the atmosphere is spherical. Assume that as the droplet passes through a cloud, it acquires mass at a
rate proportional to kA where k is a constant (k>0) and A is its cross-sectional area. Consider a droplet of initial radius r0 that enters a cloud with a velocity v0. Assume no resistive force and show: a. that the radius increases linearly with the time
b. that if r0 is negligibly small then the speed increases linearly with the time within the cloud.
