In physics, jounce or snap[1] is the fourth derivative of the position 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.

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The term jounce has been used but it has the drawback of using the same initial letter as jerk so it is not clear which symbol to use. Edit: I see this was discussed in the related thread sorry for a repost. Beyond velocity and acceleration: jerk, snap and higher derivatives David Eager1,3, Ann-Marie Pendrill2 and Nina Reistad2 1 Faculty of Engineering and Information Technology, University of Technology Sydney, Australia 2 National Resource Centre for Physics Education, Lund University, Box 118, SE- 221 00 Lund, Sweden E-mail: David.Eager@uts.edu.au, Ann-Marie.Pendrill@fysik.lu.se and Nina.Reistad@ What came first, the rice crispy characters, or the physics units? Snap, crackle, and pop are not official but have been used respectively for the fourth, fifth, and sixth derivatives. The fourth, fifth, and sixth derivatives of position are called "Snap" "Crackle" and "Pop". An internet search has found references to these derivative names which then qualify their use by respectively calling them “facetious” and “not serious,” as though engineers are not entitled to an easily remembered mnemonic. Pop (occasionally known as Pounce [citation needed]) is the sixth derivative of the position vector with respect to time, with the first, second, third, fourth, and fifth derivatives being velocity, acceleration, jerk, snap, and crackle, respectively; pop is thus the rate of change of the crackle with respect to time. Another less serious suggestion is snap (symbol s), crackle (symbol c) and pop (symbol p) for the 4th, 5th and 6th derivatives respectively. The fourth, fifth, and sixth derivatives of position are known as snap (or, perhaps more commonly, jounce), crackle, and pop.The latter two of these are probably infrequently used even in a serious mathematics or physics environment, and clearly get their names as humorous allusions to the characters on the Rice Krispies cereal box.

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