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Anonymous asked in Science & MathematicsPhysics · 1 decade ago

What is the derivative of "jerk" called?

Is there a name that describes it?

What I mean is that the derivative of position is called velocity, the derivative of velocity is called acceleration, and the derivative of acceleration is called jerk (or lurch or surge).

Is there a common term for the derivative of jerk?

Update:

lexie: I'm not in school anymore, I was just wondering.

danny c: Thanks for the info.

19 Answers

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  • 1 decade ago
    Favorite Answer

    Higher derivatives of displacement are rarely necessary, and hence lack agreed-on names. The fourth derivative of position was considered in development of the Hubble Space Telescope's pointing control system, and called jounce. Many other suggestions have been made, such as jilt, jouse, jolt, and delta jerk. As more distinct terms that start with letters other than "j", the term snap has been proposed for the 4th derivative of position, with "crackle" and "pop" having been suggested - facetiously - as names for the 5th and 6th derivatives

    Source(s): Wikipedia in tern from http://sprott.physics.wisc.edu/pubs/paper229.pdf
  • 5 years ago

    Derivative Of Jerk

  • 1 decade ago

    I'm not really sure, but unlike some of the previous answerer's I actually know what your talking about. (kudos to the other answerers who didn't take this as a funny chance for a point). My suggestion would be to find an equation and test it. Is there a recognizable function when you get to the derivative of jerk or do you wind up with something ridiculous? What would the unit be on the derivative of that? f''''(x) is kind of a crazy thing to think about when you really start thinking about it lol.

    I haven't taken physics for a long time, so I can't think of a good example, but if you're asking this then you are probably still in the class or something. Use a graphing calculator to see what the function would look like. If you actually figure it out could you send me a message and let me know? Now I'm curious.

  • Anonymous
    6 years ago

    This Site Might Help You.

    RE:

    What is the derivative of "jerk" called?

    Is there a name that describes it?

    What I mean is that the derivative of position is called velocity, the derivative of velocity is called acceleration, and the derivative of acceleration is called jerk (or lurch or surge).

    Is there a common term for the derivative of jerk?

    Source(s): derivative quot jerk quot called: https://tr.im/KjmCU
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  • 1 decade ago

    Jerk is synonymous with jolt, surge, and lurch, says Wikipedia. They all mean "change in acceleration." Commonly, the...

    1st derivative of position with respect to time = velocity

    2nd derivative of position with respect to time = acceleration

    3rd derivative of position with respect to time = jerk

    The integral of jerk = acceleration.

    The integral of acceleration = velocity.

    The integral of the velocity = position.

    Here,

    x = position

    v = velocity

    a = acceleration

    j = jerk

    ......x(t) = (x_initial) + (v_initial * t) + (1/2*a_initial*t^2) + (1/6*j*t^3)

    dx/dt^1 = v(t) = (v_initial) + (a_initial*t) + (1/2*j*t^2)

    dx/dt^2 = a(t) = (a_initial) + (j*t)

    dx/dt^3 = j(t) = j

    dx/dt^4 = 0

    But the above is just an example. For x(t) = e^t, dx/dt^4 = e^t; the derivate can be whatever the equation calls for.

    A good example of the jerk can be found in accelerating cars. After the green light, acceleration is relatively constant. As the car nears its maximum speed, acceleration lessens. For the first ~35 seconds, this might model an accelerating car:

    x_initial = 0

    v_initial = 0

    x(t) = [7/2*t^2] - [2/0.02 * e^(0.02*t)]

    v(t) = 7*t - 2*e^(0.02*t)

    a(t) = 7 - (1/0.04)*e^(0.02*t)

    j(t) = -(1/0.0008)*e^(0.02*t)

    Acceleration starts out at 7, and lessens over time.

  • 1 decade ago

    I know that this was a question asked when I learned this, but I cant remember the response. I want to say "impulse" or something like that, but I think that was another name for jerk or acceleration. Would that really be a measurable quantity? And more importantly, what would it signify?

  • Anonymous
    5 years ago

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    I kind of alternate the words for different things. Frosting cakes. Icing cupcakes. I'm not really sure why. Just mixin' it up a bit

  • 1 decade ago

    So when you integrate a jerk you get acceleration?

    I never thought of that.

  • Anonymous
    1 decade ago

    Jolt is the most common 2nd is to be abrupt

  • Anonymous
    1 decade ago

    Jerk junior.

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