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What (who) is displacement gradient - definition
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![USS ''Abel P. Upshur'']] are destroyers of comparable size, but because the latter is more heavily loaded, it sits lower, displacing more water.](https://commons.wikimedia.org/wiki/Special:FilePath/The Arrival of the First Flotilla of Destroyers From America To the Royal Navy, Devonport, September 1940 A724.jpg?width=200 "USS ''Abel P. Upshur'']] are destroyers of comparable size, but because the latter is more heavily loaded, it sits lower, displacing more water.")
![displacement]]](https://commons.wikimedia.org/wiki/Special:FilePath/Archimedes bath.jpg?width=200 "displacement]]")
![hydrostatic]] curves. Lines 4 and 5 are used to convert from mean draft in meters to displacement in tonnes (table in Spanish).](https://commons.wikimedia.org/wiki/Special:FilePath/CurvasCarenaDerecha.PNG?width=200 "hydrostatic]] curves. Lines 4 and 5 are used to convert from mean draft in meters to displacement in tonnes (table in Spanish).")
![''f''(''x'',''y'') {{=}} −(cos<sup>2</sup>''x'' + cos<sup>2</sup>''y'')<sup>2</sup>}} depicted as a projected [[vector field]] on the bottom plane.](https://commons.wikimedia.org/wiki/Special:FilePath/3d-gradient-cos.svg?width=200 "''f''(''x'',''y'') {{=}} −(cos<sup>2</sup>''x'' + cos<sup>2</sup>''y'')<sup>2</sup>}} depicted as a projected [[vector field]] on the bottom plane.")
Wikipedia
In geometry and mechanics, a displacement is a vector whose length is the shortest distance from the initial to the final position of a point P undergoing motion. It quantifies both the distance and direction of the net or total motion along a straight line from the initial position to the final position of the point trajectory. A displacement may be identified with the translation that maps the initial position to the final position.
A displacement may be also described as a relative position (resulting from the motion), that is, as the final position xf of a point relative to its initial position xi. The corresponding displacement vector can be defined as the difference between the final and initial positions:
In considering motions of objects over time, the instantaneous velocity of the object is the rate of change of the displacement as a function of time. The instantaneous speed, then, is distinct from velocity, or the time rate of change of the distance travelled along a specific path. The velocity may be equivalently defined as the time rate of change of the position vector. If one considers a moving initial position, or equivalently a moving origin (e.g. an initial position or origin which is fixed to a train wagon, which in turn moves on its rail track), the velocity of P (e.g. a point representing the position of a passenger walking on the train) may be referred to as a relative velocity, as opposed to an absolute velocity, which is computed with respect to a point which is considered to be 'fixed in space' (such as, for instance, a point fixed on the floor of the train station).
For motion over a given interval of time, the displacement divided by the length of the time interval defines the average velocity, which is a vector, and differs thus from the average speed, which is a scalar quantity.
