A friend and I have been racking our brain over a problem.

Given an initial height $h$, a final height $h_f$ a set $d$ distance away, and a final angle $\theta$, is it possible to get an initial angle and velocity while including drag force?

We have to deduce a formula mathematically, and couldn't come up with anything. Trying to program something came up fruitless too. An exact answer wouldn't be necessary but a method of getting relatively close values is what we are seeking. Can any of y'all come up with a solution?

Thanks,

ImperialDogma

## Applying Drag force to a projectile.

### Re: Applying Drag force to a projectile.

The difficulty of this problem depends on how you model the drag.

If you model it as proportional to V

An easier problem would be to model drag as proportional to V. That makes the equations for x and y easier to separate, because the x component of the drag depends only on the x component of the velocity and is independent of the y component.

If you model it as proportional to V

^{3}, you get a system of differential equations. You would then apply your known constants as boundary conditions.An easier problem would be to model drag as proportional to V. That makes the equations for x and y easier to separate, because the x component of the drag depends only on the x component of the velocity and is independent of the y component.