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Going from position to velocity to acceleration makes sense. But suddenly acceleration to jerk is hard to grasp. Why is that?

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Lots of natural systems are well defined using second order differential equations. To go beyond second order requires "interesting" systems, which are more dynamic than the garden variety. Since we see more of these systems that are easily captured with second order differential equations, our brains have developed a better intuition of them.

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  • $\begingroup$ Just the kind of explanation I was looking for. Thanks! $\endgroup$ – Schmego Jun 10 '20 at 7:00

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