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Crackle (physics): Wikis


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

\vec c=\frac {d \vec s} {dt}=\frac {d^2 \vec j} {dt^2}=\frac {d^3 \vec a} {dt^3}=\frac {d^4 \vec v} {dt^4}=\frac {d^5 \vec r} {dt^5}

Currently, there are no well-accepted designations for the derivatives of crackle. The fifth and sixth derivatives of position as a function of time are "sometimes somewhat facetiously" [1][2] referred to (in association with "Snap") as "Crackle" and "Pop", from the cereal characters; however, these terms have not gained widespread acceptance.


  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. Retrieved 2007-08-24.  
  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 2008-03-12.  

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