Haha, I actually think about this a lot. There are mechanical g-force meters you use when driving. The position of the needle is the acceleration (2nd derivati

Haha, I actually think about this a lot. There are mechanical g-force meters you use when driving. The position of the needle is the acceleration (2nd derivative of position). The velocity of the needle would be the 3rd derivative. The acceleration of the needle would be the 4th.