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So i was wondering if simple harmonic motion (SHM) is an example of a jerk (3th derivative of position)?I think it is a jerk because acceleration is changing with respect to time in SHM. Am i correct?

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    $\begingroup$ The only system that has a vanishing 3rd derivative of position would be that of a constant force. I guess most systems have a non vanishing jerk but the equations of motion don't depend on the jerk. $\endgroup$ Sep 12, 2021 at 13:08
  • $\begingroup$ what is meant by vanishing or non-vanishing? $\endgroup$
    – yug
    Sep 16, 2021 at 5:57
  • $\begingroup$ Non-vanishing means that it isn't zero. $\endgroup$ Sep 16, 2021 at 14:27

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The acceleration that changes with time in an oscillating system system does meet the definition of a jerk. (A jerk that's noticeable on a daily basis occurs when you are decelerating for a red light and you reach a velocity of zero.)

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