Snap (physics)

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In physics, jounce or snap is the fourth derivative of the displacement vector with respect to time, with the first, second, and third derivatives being velocity, acceleration, and jerk, respectively; in other words, the jounce is the rate of change of the jerk with respect to time.

\vec s=\frac {d \vec j} {dt}=\frac {d^2 \vec a} {dt^2}=\frac {d^3 \vec v} {dt^3}=\frac {d^4 \vec r} {dt^4}

Currently, there are no well accepted designations for the derivatives of jounce. The fifth and sixth derivatives of displacement as a function of time are "sometimes somewhat facetiously" 12 referred to as "Crackle" and "Pop"; however, these terms have not gained widespread acceptance.

References

  1. ^ Visser, Matt (2004-07-24). "Jerk, Snap, and the Cosmological Equation of State". Classical and Quantum Gravity 21 (11): 2603–2616. doi:10.1088/0264-9381/21/11/006. ISSN: 0264-9381, http://front.math.ucdavis.edu/0309.4509. Retrieved on 24 August 2007. 
  2. ^ Gragert, Stephanie (November 1998). "What is the term used for the third derivative of position?". Usenet Physics and Relativity FAQ. Math Dept., University of California, Riverside. Retrieved on 2008-03-12.

External links

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  • This page was last modified on 1 October 2008, at 18:16.

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