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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. [1] 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.
The term is also frequently used metaphorically [1] to mean a measurement of the amount of difference between two similar objects (such as statistical distance between probability distributions or edit distance between strings of text) or a degree of separation (as exemplified by distance between people in a social network).
Displacement (geometry), is the difference between the final and initial position of a point trajectory (for instance, the center of mass of a moving object).The actual path covered to reach the final position is irrelevant.
Motion is mathematically described in terms of displacement, distance, velocity, acceleration, speed, and frame of reference to an observer, measuring the change in position of the body relative to that frame with a change in time.
Since linear motion is a motion in a single dimension, the distance traveled by an object in particular direction is the same as displacement. [4] The SI unit of displacement is the metre . [ 5 ] [ 6 ] If x 1 {\displaystyle x_{1}} is the initial position of an object and x 2 {\displaystyle x_{2}} is the final position, then mathematically the ...
A judge told the parents of 27-year-old Ellen Greenberg, a Philadelphia teacher found dead with 20 stab wounds in 2011, that the city's declaration of suicide was "puzzling."
Its length represents the distance in relation to an arbitrary reference origin O, and its direction represents the angular orientation with respect to given reference axes. Usually denoted x, r, or s, it corresponds to the straight line segment from O to P. In other words, it is the displacement or translation that maps the origin to P: [1]
His strongest marks come on dealing with the economy (with 39% expressing a lot of confidence in him), immigration policy (39%) and the war between Russia and Ukraine (37%).