Solving the Projectile Motion Problem With Air Drag

[Varnson]

Homework Statement

A projectile with mass m is fired upward with an initial speed v0. If the air drag varies with the square of speed F(v)=-kmv2 show that the projectile reaches a height of
h=1/2k*ln[1+(kv0^2/g)]

Homework Equations

F0+F(v) = mv(dv/dx)

The Attempt at a Solution

I am a little confused on how to get started and tackle this problem! Any pointers? Thanks for the help!

 

[Mindscrape]

Were you able to get the differential equation?

 

[Varnson]

I was not able to get the diff. eq. I have not had any diff. eq. classes yet, so I am teaching myself as I go along in my mechanics course. Would it be ma=-mg-c1v?

 

[Gokul43201]

What is "c1v"?