Jounce

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"cite journal
last = Visser
first = Matt
authorlink = Matt Visser
title = Jerk, Snap, and the Cosmological Equation of State
journal = Classical and Quantum Gravity
volume = 21
issue = 11
pages = 2603–2616
date = 2004-07-24
url = http://front.math.ucdavis.edu/0309.4509
id = ISSN: 0264-9381
accessdate = 2007-08-24
doi = 10.1088/0264-9381/21/11/006 ] cite web
last = Gragert
first = Stephanie
title = What is the term used for the third derivative of position?
url = http://math.ucr.edu/home/baez/physics/General/jerk.html
publisher = Math Dept., University of California, Riverside
work = Usenet Physics and Relativity FAQ
date = November 1998
accessdate = 2008-03-12] referred to as "Crackle" and "Pop"; however, these terms have not gained widespread acceptance.

References

External links

* [http://arxiv.org/pdf/gr-qc/0411131 "Cosmography: cosmology without the Einstein equations"] , Matt Visser, School of Mathematics, Statistics and Computer Science, Victoria University of Wellington, 2004.
* [http://math.ucr.edu/home/baez/physics/General/jerk.html "What is the term used for the third derivative of position?"]