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## Homework Statement

This is not a hw prob, its just something I was trying out.

To find the equation of the path of the projectile when air friction is considered.

## Homework Equations

F=-bv, where v is a vector.

## The Attempt at a Solution

Let the projectile be launched with a velocity [tex]v=v_{0x}i+ v_{0y}j+v_{0z}k[/tex];

Velocity after a time t is: [tex] v(t)=\frac{mv_{0x}}{m+bt}i + \frac{(v_{0y}-gt)m}{m+bt}j + \frac{mv_{0z}}{m+bt}k[/tex]. Integration of this expression wrt t, would give you the path of the projectile... right?