Some data for you to look at. It's interesting that the height of the balls as a function of time (top plot) is roughly sinusoidal, acceleration due to gravity produces a constant change in velocity and parabolic shape.
Looking from the top (middle plot) it is much more like a triangular profile, owing to the constant velocity of the ball once it's left your hand.
The bottom plot is a funky 3D plot of the balls.
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