# Falling Water Droplet

by Varnson
Tags: droplet, falling, water
 Emeritus Sci Advisor PF Gold P: 11,155 That's a poor question; it's forcing you to make a plainly unphysical assumption, namely that $\dot{m}(t)=km^{2/3}(t)$, when a much better assumption would be $\dot{m}(t)=kv(t)m^{2/3}(t)$. However, the latter does not produce an easy answer, while the former does. That said ... the above differential equation is trivially solved to give you the first answer that you need. For the second answer, you need to write an equation for momentum conservation and plug in the result from the first answer.