You could probably generate the Gcode very easily in a spreadsheet.

Think about the path you want the ball to follow and the acceleration curve.

The travel path will probably be a curvilinear function (like 1/2 of a
parabola).
You can create the gcode on a spreadsheet with X, f(x) [your "y"] and have a
seperate function define F as a function of X

Once you set it up, you can create 5 or 50K lines of gcode for the path
simply by deciding how long each X segment will be.

Its artistic integral math ....
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