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

References

External links

• Cosmography: cosmology without the Einstein equations, Matt Visser, School of Mathematics, Statistics and Computer Science, Victoria University of Wellington, 2004.
• What is the term used for the third derivative of position?