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## Homework Statement

Consider a uniforms cloud of density ρ

_{1}which consists of many little drops that are approximately still.Consider a special rain drop that is a little more bigger than the others so that it starts to fall down.Water drops stays spherical all the way.But the radius gets higher as it falls down.Also water's density is ρ

_{0}.

(a) Find a relation between [tex]\dot{r}[/tex], velocity of the drop, and the two densities.

(b) Find rain drop's acceleration.

## Homework Equations

## The Attempt at a Solution

The differential equation is non-linear.