Jounce
Encyclopedia
In physics
, jounce or snap 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.
The notation
(used in ) is not to be confused with the displacement vector commonly denoted similarly. Currently, there are no well-accepted designations for the derivatives of jounce. The fourth, fifth and sixth derivatives of position as a function of time are "sometimes somewhat facetiously"
referred to as "Snap," "Crackle" and "Pop" followed by "Lock", "Drop", "Shot", and "Put" as the 7th, 8th, 9th, and 10th derivatives.
The unit of jounce is distance per (time to the power of 4). This is referred to in SI
as: "metres per quartic second", "metres per second per second per second per second", m/s4, m · s-4.
Physics
Physics is a natural science that involves the study of matter and its motion through spacetime, along with related concepts such as energy and force. More broadly, it is the general analysis of nature, conducted in order to understand how the universe behaves.Physics is one of the oldest academic...
, jounce or snap is the fourth derivative
Derivative
In calculus, a branch of mathematics, the derivative is a measure of how a function changes as its input changes. Loosely speaking, a derivative can be thought of as how much one quantity is changing in response to changes in some other quantity; for example, the derivative of the position of a...
of the position vector with respect to time
Time
Time is a part of the measuring system used to sequence events, to compare the durations of events and the intervals between them, and to quantify rates of change such as the motions of objects....
, with the first, second, and third derivatives being velocity
Velocity
In physics, velocity is speed in a given direction. Speed describes only how fast an object is moving, whereas velocity gives both the speed and direction of the object's motion. To have a constant velocity, an object must have a constant speed and motion in a constant direction. Constant ...
, acceleration
Acceleration
In physics, acceleration is the rate of change of velocity with time. In one dimension, acceleration is the rate at which something speeds up or slows down. However, since velocity is a vector, acceleration describes the rate of change of both the magnitude and the direction of velocity. ...
, and jerk, respectively; in other words, the jounce is the rate of change of the jerk with respect to time.
The notation
(used in ) is not to be confused with the displacement vector commonly denoted similarly. Currently, there are no well-accepted designations for the derivatives of jounce. The fourth, fifth and sixth derivatives of position as a function of time are "sometimes somewhat facetiously"referred to as "Snap," "Crackle" and "Pop" followed by "Lock", "Drop", "Shot", and "Put" as the 7th, 8th, 9th, and 10th derivatives.
The unit of jounce is distance per (time to the power of 4). This is referred to in SI
Si
Si, si, or SI may refer to :- Measurement, mathematics and science :* International System of Units , the modern international standard version of the metric system...
as: "metres per quartic second", "metres per second per second per second per second", m/s4, m · s-4.
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?
- What is Derivatives of Displacement?