# Projectile motion with varying air resistance

1. Apr 18, 2010

### tyuio2202

I've seen equations for projectile motion ignoring air resistance and how to solve for the equations of motion when a projectile experiences resistance proportional to its velocity, but how would you determine the equations of motion for a projectile when the air resistance is inversely proportional to the height of the object?

It seems to me like you would start with equations like
may= mg - bvy/ky
max = -bvx/ky

where the projectile has some initial velocity (v0) and angle of elevation ($$\theta$$)

but I don't know how one would go about solving for x(t) and y(t),
or if these equations would even be the way to go.

Any thoughts would be helpful

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