A small water drop of diameter $0\mathrm{.}2mm$ is launched starting from the origin with an initial

velocity $5\mathrm{.}0\frac{m}{s},$ upward. The drop experiences both linear air resistance $(F_r=-bv(widehat(v)))$ and gravity

acting downward.

a$)$ What is the terminal speed of the water drop?

b$)$ What is the time constant $?$

c$)$ At what time after the drop is launched does it stop?

d$)$ What is the distance above the origin when the drop stops?