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Tuesday, September 21, 2021

09-21-2021-1422 - fourth, fifth and sixth derivatives of position

 In physics, the fourth, fifth and sixth derivatives of position are defined as derivatives of the position vector with respect to time – with the first, second, and third derivatives being velocity, acceleration, and jerk, respectively. However, these higher-order derivatives rarely appear,[1] and have little practical use, thus their names are not as standard.

The fourth derivative is often referred to as snap or jounce. The name "snap" for the fourth derivative led to crackle and pop for the fifth and sixth derivatives respectively,[2] inspired by the advertising mascots Snap, Crackle, and Pop.[3]These are occasionally used, though "sometimes somewhat facetiously".[3]

Time-derivatives of position

https://en.wikipedia.org/wiki/Fourth,_fifth,_and_sixth_derivatives_of_position


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