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What does FOURTH, FIFTH, AND SIXTH DERIVATIVES OF POSITION stand for?
What does FOURTH, FIFTH, AND SIXTH DERIVATIVES OF POSITION mean? This page is about the various possible meanings of the acronym, abbreviation, shorthand or slang term: FOURTH, FIFTH, AND SIXTH DERIVATIVES OF POSITION.
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What does FOURTH, FIFTH, AND SIXTH DERIVATIVES OF POSITION mean?
- 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. Unlike the first three derivatives, the higher-order derivatives are less common, thus their names are not as standardized, though the concept of a minimum snap trajectory has been used in robotics and is implemented in MATLAB.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, inspired by the Rice Krispies mascots Snap, Crackle, and Pop. These terms are occasionally used, though "sometimes somewhat facetiously".
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