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# Jounce

[jouns]
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.

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

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" referred to as "Crackle" and "Pop"; however, these terms have not gained widespread acceptance.