# Homework Help: Raindrop Problem

1. Nov 19, 2008

### siwik39

1. The problem statement, all variables and given/known data
The terminal velocity of a 0.000038 kg raindrop is about 14 m/s.

(a) Assuming a drag force FD = -bv, determine the value of the constant b.
correct check mark kg/s

(b) Determine the time required for such a drop, starting from rest, to reach 63 percent of terminal velocity.

2. The attempt at a solution

I got part a by myself, where b= 0.0000266 kg/s

Part b has given me some trouble. I drew a diagram and set the the equation
F=ma=mg - (-bv) Then i tried solving for a, and using that to find t. However, I realized you can't use a=Vf-Vi/t because a is not constant. I have never done an equation like this with t and a non-constant a. I really don't want the answer because I wont learn anything, but any help or hints would be appreciated.

2. Nov 20, 2008

### tiny-tim

Welcome to PF!

Hi siwik39! Welcome to PF!

Isn't it ma=mg + (-bv)?

Anyway, just put a = dv/dt, and solve for v.

3. Nov 20, 2008

### siwik39

I got part a. I was trying to solve for t. But thanks I got it with the dv/dt.