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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
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These common names correspond to terminology used in basic kinematics. By extension, the higher order derivatives can be computed in a similar fashion. Study of these higher order derivatives can improve approximations of the original displacement function. Such higher-order terms are required in
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that maps the initial position to the final position. Displacement is the shift in location when an object in motion changes from one position to another. For motion over a given interval of time, the displacement divided by the length of the time interval defines the
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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
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1373:{\displaystyle \mathbf {j} ={\frac {d\mathbf {a} }{dt}}={\frac {d^{2}\mathbf {v} }{dt^{2}}}={\frac {d^{3}\mathbf {s} }{dt^{3}}}}
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such as, for instance, a point fixed on the floor of the train station and the usual vertical and horizontal directions).
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of the net or total motion along a straight line from the initial position to the final position of the point
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of the object is the rate of change of the displacement as a function of time. The instantaneous
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of the body. In this case, the displacement of a particle of the body is called
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Vector relating the initial and the final positions of a moving point
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In considering motions of objects over time, the instantaneous
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1581:. National Aeronautics and Space Administration. 13 May 2021
990:{\displaystyle s=x_{\textrm {f}}-x_{\textrm {i}}=\Delta {x}}
914:(resulting from the motion), that is, as the final position
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Moebs, William; Ling, Samuel J.; Sanny, Jeff (2016-09-19).
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order to accurately represent the displacement function as
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1603:(2001). "Ā§2.8 - The Derivative As A Function".
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1609:(2nd ed.). Brooks/Cole.
867:whose length is the shortest
428:Koopmanāvon Neumann mechanics
1055:{\displaystyle \mathbf {s} }
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1427:inertial frame of reference
1386:a sum of an infinite series
1062:that is a function of time
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1529:The Physics Classroom
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900:(a scalar quantity).
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1981:angular displacement
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2138:angular speed
2136:
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2110:
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2020:
2016:
2013:
2012:
2008:
2000:
1996:
1994:
1989:
1988:
1982:
1977:
1972:
1969:
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1964:
1962:
1957:
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1489:Motion vector
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898:average speed
895:
890:
886:
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2243:
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2178:acceleration
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2120:
2108:
2096:
2079:
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2023:
1986:
1985:
1975:
1955:
1942:displacement
1935:
1929:
1923:
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1828:
1732:Acceleration
1712:Displacement
1711:
1604:
1595:
1583:. Retrieved
1578:
1569:
1558:. Retrieved
1555:openstax.org
1554:
1544:
1532:. Retrieved
1528:
1518:
1469:Affine space
1420:
1414:
1399:
1382:
1160:Acceleration
1039:
1021:
1017:
1010:displacement
1009:
1003:
925:
916:
909:
907:
861:displacement
860:
850:
641: /
637: /
635:displacement
633: /
494: /
456:Displacement
455:
394:
385:
379:Formulations
366:Virtual work
306: /
246:Acceleration
239:Fundamentals
79:
52:SI unit
44:
22:Displacement
1999:solid angle
1030:Derivatives
1008:, the term
904:Formulation
889:translation
777:von Neumann
444:Core topics
2769:Categories
2734:m s, N m s
2710:m s,
2656:Lagrangian
2581:Lagrangian
1821:Dimensions
1809:Dimensions
1677:Kinematics
1585:9 November
1560:2024-03-11
1510:References
1396:Discussion
1034:See also:
1006:rigid body
1000:Rigid body
934:difference
885:trajectory
712:d'Alembert
692:Maupertuis
655:Scientists
537:Rigid body
211:Kinematics
2750:ms,
2369:˙
2092:frequency
2019:frequency
1689:Integrate
1534:2 January
1410:time rate
1014:rotations
980:Δ
962:−
881:direction
857:mechanics
757:Liouville
639:frequency
559:Vibration
276:potential
201:Continuum
196:Celestial
173:Textbooks
75:Dimension
2694:m s, N s
2517:J s
2513:m s
2488:m s
2449:m s
2420:m s
2396:momentum
2049:velocity
1919:position
1908:distance
1862:absement
1787:SI units
1722:Velocity
1716:Distance
1707:Absement
1606:Calculus
1433:See also
1402:velocity
1107:Velocity
873:position
869:distance
853:geometry
812:Category
737:Hamilton
722:Lagrange
717:Clairaut
682:Horrocks
643:velocity
613:Pendulum
601:reactive
573:Rotation
542:dynamics
492:Inertial
478:Friction
361:Velocity
336:Momentum
216:Kinetics
206:Dynamics
184:Branches
168:Timeline
2722:rotatum
2501:actergy
2437:actergy
2406:impulse
2326::
2077::
2007:rad, sr
772:Koopman
732:Poisson
727:Laplace
672:Huygens
667:Galileo
512: (
451:Damping
304:Inertia
298:Impulse
271:kinetic
221:Statics
191:Applied
163:History
2780:Length
2636:energy
2617:moment
2605:torque
2561:energy
2539:weight
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2493:action
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2429:action
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1390:jounce
877:motion
865:vector
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762:Appell
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687:Halley
677:Newton
662:Kepler
514:linear
510:Motion
356:Torque
331:Moment
266:Energy
256:Couple
2738:power
2698:power
2668:m s,
2629:m s,
2593:m s,
2554:m s,
2529:force
2039:speed
1971:angle
1726:Speed
1406:speed
863:is a
767:Gibbs
752:Routh
707:Euler
346:Speed
341:Space
283:Force
56:metre
2682:yank
2646:work
2571:work
2285:mass
2239:jerk
1951:area
1882:time
1847:time
1737:Jerk
1611:ISBN
1587:2023
1536:2012
1252:Jerk
859:, a
855:and
351:Time
314:Mass
2716:MLT
2631:N m
2599:MLT
2552:kg
2457:MLT
2453:J s
2424:N s
2270:rad
2248:m s
2221:rad
2188:m s
2160:rad
2084:m s
2059:m s
1993:rad
1872:m s
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61:In
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2133:Hz
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2118::
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1983::
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69:m
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