Shooter Aiming with Tables

[Ether]

Originally Posted by btcshields6

For now. I'd like to start by getting a table of theoretical values.

Solving this has got my coach and I (a physics teacher) scratching our heads.

It's not clear to me what you're having trouble solving.

In my earlier post I gave the formula for finding launch angle and launch speed, given the coordinates of the apex of the parabola (the horizontal and vertical distances xp & yp from the launch point to the center of the goal).

This assumes there is no air drag, so it may be quite inaccurate.

If you want to include air drag, you'll have to measure (or calculate) the relevant drag coefficients... or measure the terminal velocity of the ball.

And when you include air drag, I don't think there's a closed-form solution. You'd have to use numerical methods and iteration. Not hard to do, just not as straightforward as an explicit solution.

Does that help? If you still have questions, please keep asking until it makes sense.