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Acceleration

In physics, acceleration is a measure of how fast and in what direction an object's speed and direction of motion are changing. It is defined as the rate of change of the velocity. Like velocity, acceleration has a magnitude and a direction, making it a vector quantity. The SI unit for acceleration is metre per second squared (m⋅s−2, m/s2).

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Measurement, Definition and properties & Special cases

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Key facts & relationships

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Common symbols
a
Derivations from other quantities
a = d v d t = d 2 x d t 2 {\displaystyle \mathbf {a} ={\frac {d\mathbf {v} }{dt}}={\frac {d^{2}\mathbf {x} }{dt^{2}}}}
Dimension
L T − 2 {\displaystyle {\mathsf {L}}{\mathsf {T}}^{-2}}
SI unit
m/s2, m·s−2, m s−2

Topics to explore

A structured outline of related entities, concepts and subtopics. Open any item to build a new map centered on it.

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Overview

Definition and properties

Example

Tangential and centripetal acceleration

Special cases

Coordinate systems

Relation to relativity

Advanced semantic analysis

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Map overview Semantic statistics

Number of nodes, edges, triples, density and central hubs. Use it to gauge the size and connectivity of the map.

Acceleration

Nodes84
Edges83
Triples62
Avg. degree1.98
Density0.02381
Components1

How this topic connects Entity context

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Acceleration

Top relations

related to Other forms · 9
Acceleration → An, Earth, General, If, In, Newton's, One, Proper, This
is a · 7
Acceleration → derivative of the velocity vector with respect to time, limit of the average acceleration over an infinitesimal interval of time, measure of how fast and in what direction an object's speed and direction of motion are changing, metre per second squared, only true acceleration one is able to directly measure without appealing to an empirical law, simplest way to measure acceleration, type of motion in which the velocity of an object changes by an equal amount in every equal time period.A frequently cited example of uniform acceleration is that of an object i…
related to Average acceleration · 7
Acceleration → An, Delta, In, Mathematically, Over, The, Uniform
related to Example · 6
Acceleration → Both, Each, If, Such, The, When
related to Instantaneous acceleration · 6
Acceleration → As, By, Delta, Here, In, Instantaneous
related to Circular motion · 5
Acceleration → For, In, Since, The, This
related to Coordinate systems · 3
Acceleration → Cartesian, In, The
related to Special relativity · 3
Acceleration → As, Newtonian, The
related to Uniform acceleration · 3
Acceleration → By Newton's, The, Uniform
related to General relativity · 2
Acceleration → Albert Einstein, Unless

Important terminology Word statistics

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Important terminology

velocity displaystyle direction force motion vector time mathbf speed mass tangential frac change object component centripetal uniform circular magnitude called

Entity relationships Subject–Predicate–Object triples

Extracted RDF-like relationships with confidence and source. The table includes structured facts and lower-confidence contextual relations.
SubjectPredicateObjectConfidenceSrc
AccelerationCommon symbolsa1.00infobox
AccelerationDerivations from other quantitiesa = d v d t = d 2 x d t 2 {\displaystyle \mathbf {a} ={\frac {d\mathbf {v} }{dt}}={\frac {d^{2}\mathbf {x} }{dt^{2}}}}1.00infobox
AccelerationDimensionL T − 2 {\displaystyle {\mathsf {L}}{\mathsf {T}}^{-2}}1.00infobox
AccelerationSI unitm/s2, m·s−2, m s−21.00infobox
Accelerationis ameasure of how fast and in what direction an object's speed and direction of motion are changing0.90text
Accelerationis asimplest way to measure acceleration0.90text
Accelerationis aonly true acceleration one is able to directly measure without appealing to an empirical law0.90text
Accelerationis alimit of the average acceleration over an infinitesimal interval of time0.90text
Accelerationis aderivative of the velocity vector with respect to time0.90text
Accelerationis ametre per second squared0.90text
Accelerationis atype of motion in which the velocity of an object changes by an equal amount in every equal time period.A frequently cited example of uniform acceleration is that of an object i…0.90text
Accelerationrelated to Average accelerationAn0.60section

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