Jets are approximated

Finally, I conducted the experiment and analyzed the results. The curves were fitted during quite a long session with Claude.

One thing I would do differently now: mark the jets with different colors from the very beginning, and do the same for the hole positions. When Claude can infer the whole idea behind the scene, it is surprisingly hard for it to figure out the precise boundaries of objects.

In the PDF, you can find the full derivation of the parabolic trajectory with a correction for the camera tilt.

As a bonus, there is an old but gold joke about a scientist's perception of the whole world.