Going from position to velocity to acceleration makes sense. But suddenly acceleration to jerk is hard to grasp. Why is that?
3 Answers
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! $\endgroup$– SchmegoJun 10, 2020 at 7:00
I am not convinced that jerk is hard to grasp. Anyone standing 4m above the ground having to jump will intuitively understand how jerk differs as they look down at the soft foam and the surrounding concrete. But, you do make an important point that things which can't be easily sensed, like snap, crackle and pop do become increasingly difficult to grasp....
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$\begingroup$ There is a good paper about it here: mdpi.com/2571-631X/3/4/25/pdf $\endgroup$ Mar 31 at 10:47
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$\begingroup$ This does not provide an answer to the question. Once you have sufficient reputation you will be able to comment on any post; instead, provide answers that don't require clarification from the asker. - From Review $\endgroup$ Mar 31 at 16:58
Problems with a variable acceleration are usually more difficult to solve and rarely come up in a basic physics course. The most familiar jerk occurs when you are stopping for a red light. You decelerate until the velocity is zero, and then the deceleration suddenly stops.