Solving the Projectile Motion Problem With Air Drag

Varnson
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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!
 
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Were you able to get the differential equation?
 
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?
 
What is "c1v"?
 

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