#### ChaseD13

##### 500+ Head-Fier

- Joined
- Aug 11, 2006

- Posts
- 544

- Likes
- 10

I'd appreciate any help.

Here's the problem (on motion in a resistive medium)

"An object of mass m is thrown vertically upward with a speed V(0). Assuming that air resistance is proportional to the instantaneous velocity and that the constant of proportionality is k, show that the time to reach maximum height is given by the following.

Tmax= (m/k) ln [1 + (kv0/mg0)] "

m= mass

g=gravity

The point of this problem is to use implicit differentiation to go from acceleration to velocity, and then to set velocity to 0 because that's what the velocity would be at max height.

Any help?