3 ms·

Wait, meaning the third derivative of the what is already the second derivative of position - so snap = 5th derivative of position? Is there an intuitive explan

Wait, meaning the third derivative of the what is already the second derivative of position - so snap = 5th derivative of position? Is there an intuitive explanation for this? Just checking my understanding.

flobosg 4y ago
Snap, or jounce, is the fourth derivative of position.
- jdougan 4y ago
  I thought that was called "jerk".
  - marcianx 4y ago
    0th derivative = position 1st derivative = velocity 2nd derivative = acceleration 3rd derivative = jerk 4th derivative = snap 5th derivative = crackle 6th derivative = pop I just learned the last 3 due to this discussion and Wikipedia[1][2]. [1]: https://en.wikipedia.org/wiki/Fourth,_fifth,_and_sixth_derivatives_of_position https://en.wikipedia.org/wiki/Fourth,_fifth,_and_sixth_deriv... [2]: https://en.wikipedia.org/wiki/Snap,_Crackle_and_Pop https://en.wikipedia.org/wiki/Snap,_Crackle_and_Pop
    - jdougan 4y ago
      Thanks! Very enlightening.
    - shric 4y ago
      It gets crazier: −7th: absop −6th: absackle −5th: absnap −4th: abserk −3rd: abseleration −2nd: absity −1st: absement https://en.m.wikipedia.org/wiki/Absement https://en.m.wikipedia.org/wiki/Absement
  - deleted 4y ago
    [deleted]
  - Sharlin 4y ago
    Jerk is the third derivative of position and is very familiar to anyone who has ever ridden a bus or other vehicle with not-so-smooth acceleration curves.
    - moralestapia 4y ago
      Are there intuitive examples of snap, crackle and pop? What are they used on? (Very nice to think about)
      - dougmwne 4y ago
        Intuitively I think you would be able to tell the difference between a jerk and a snap. In a car experiencing jerk, you would find yourself no longer able to balance against acceleration and you would sway. In a snap, you would not just sway, but really bounce around. Think the difference between hitting the gas pedal in ludicrous mode vs hitting the gas pedal while driving over potholes. Crackle and pop, I have no idea if you could tell the difference.
    - N19PEDL2 4y ago
      An interesting fact: it has been shown ([0], [1]) that human body movements are performed in such a way as to minimize the jerk, so the jerk is used in robotics to make humanoid robot movements look more natural. [0] https://doi.org/10.1109/TAC.1984.1103644 https://doi.org/10.1109/TAC.1984.1103644 [1] https://doi.org/10.1523/JNEUROSCI.22-18-08201.2002 https://doi.org/10.1523/JNEUROSCI.22-18-08201.2002
nl 4y ago
Linked elsewhere, the Wikipedia page is pretty good: https://en.wikipedia.org/wiki/Fourth,_fifth,_and_sixth_derivatives_of_position https://en.wikipedia.org/wiki/Fourth,_fifth,_and_sixth_deriv... The Wikipedia page on Jerk also has a good explanation for the how people feel that: https://en.wikipedia.org/wiki/Jerk_(physics) https://en.wikipedia.org/wiki/Jerk_(physics) I'm unsure if we can really feel Snap and beyond.

flobosg 4y ago

Snap, or jounce, is the fourth derivative of position.

jdougan 4y ago
I thought that was called "jerk".
- marcianx 4y ago
  0th derivative = position 1st derivative = velocity 2nd derivative = acceleration 3rd derivative = jerk 4th derivative = snap 5th derivative = crackle 6th derivative = pop I just learned the last 3 due to this discussion and Wikipedia[1][2]. [1]: https://en.wikipedia.org/wiki/Fourth,_fifth,_and_sixth_derivatives_of_position https://en.wikipedia.org/wiki/Fourth,_fifth,_and_sixth_deriv... [2]: https://en.wikipedia.org/wiki/Snap,_Crackle_and_Pop https://en.wikipedia.org/wiki/Snap,_Crackle_and_Pop
  - jdougan 4y ago
    Thanks! Very enlightening.
  - shric 4y ago
    It gets crazier: −7th: absop −6th: absackle −5th: absnap −4th: abserk −3rd: abseleration −2nd: absity −1st: absement https://en.m.wikipedia.org/wiki/Absement https://en.m.wikipedia.org/wiki/Absement
- deleted 4y ago
  [deleted]
- Sharlin 4y ago
  Jerk is the third derivative of position and is very familiar to anyone who has ever ridden a bus or other vehicle with not-so-smooth acceleration curves.
  - moralestapia 4y ago
    Are there intuitive examples of snap, crackle and pop? What are they used on? (Very nice to think about)
    - dougmwne 4y ago
      Intuitively I think you would be able to tell the difference between a jerk and a snap. In a car experiencing jerk, you would find yourself no longer able to balance against acceleration and you would sway. In a snap, you would not just sway, but really bounce around. Think the difference between hitting the gas pedal in ludicrous mode vs hitting the gas pedal while driving over potholes. Crackle and pop, I have no idea if you could tell the difference.
  - N19PEDL2 4y ago
    An interesting fact: it has been shown ([0], [1]) that human body movements are performed in such a way as to minimize the jerk, so the jerk is used in robotics to make humanoid robot movements look more natural. [0] https://doi.org/10.1109/TAC.1984.1103644 https://doi.org/10.1109/TAC.1984.1103644 [1] https://doi.org/10.1523/JNEUROSCI.22-18-08201.2002 https://doi.org/10.1523/JNEUROSCI.22-18-08201.2002

nl 4y ago

Linked elsewhere, the Wikipedia page is pretty good: https://en.wikipedia.org/wiki/Fourth,_fifth,_and_sixth_derivatives_of_position https://en.wikipedia.org/wiki/Fourth,_fifth,_and_sixth_deriv... The Wikipedia page on Jerk also has a good explanation for the how people feel that: https://en.wikipedia.org/wiki/Jerk_(physics) https://en.wikipedia.org/wiki/Jerk_(physics) I'm unsure if we can really feel Snap and beyond.