- 9

- 0

**1. The problem statement, all variables and given/known data**

See problem here:

http://i184.photobucket.com/albums/x153/spl10246/problem.png

Solution:

http://i184.photobucket.com/albums/x153/spl10246/solution1.png

http://i184.photobucket.com/albums/x153/spl10246/solution2.png

**2. Relevant equations**

p = m * v

K = .5 * m * v^2

U = m * g * h

a = dv/dt

v = dx/dt

**3. The attempt at a solution**

I've gotten A and C fine, I'm still working to get B. D is the trouble part.

F_net = m * a

Only force acting is -bv

m * a = -bv

m * dv/dt = -bv

dv/dt = -bv / m

dv = -bv/m * dt

dv/v = -b/m * dt

At this point the published solution makes no sense to me at all. I am used to just putting an indefinite integral on both sides at this point. My confusion is about the bounds. Why is the left side v_0 to v?

I understand the steps after setting up the integrals (including evaluating the integrals and using log properties and so on).