How do I predict where a ball will roll to?

I've been building a baseball game based off this great ball formula from rojohound, and I'm now building the AI that needs to chase the ball.

https://www.construct.net/en/forum/construct-2/how-do-i-18/design-2d-baseball-physics-135768

What I've been trying to figure out is a way to predict where the ball will end up, and have the AI move to that location (rather than needlessly chasing the ball's current location).

I've tried making a second copy of the ball, and multiplying the values in the formula, but I'm getting lost in the math and can't get it to slow down properly.

If anyone has any thoughts or insight, it's much appreciated!

Here you go:

dropbox.com/s/jsfv8fl37thcjmj/3DballWithTrace.capx

This is fantastic! What a great approach... so much simpler looking backwards. This has really helped me out.

Never sure how to say a proper thanks, but thanks very much!