If we consider a cat to be an isolated mechanical system governed by T-invariant mechanics, then its ability to land on its feet after being released from rest is incomprehensible. It is more appropriate to treat the cat as a creature that can change its shape in order to accomplish a purpose. Within that framework we can construct a useful and informative of the observed motion. One can learn from this example.
Cite
@article{arxiv.2405.04565,
title = {Free Will and Falling Cats},
author = {Frank Wilczek},
journal= {arXiv preprint arXiv:2405.04565},
year = {2024}
}