PlanetPhysics
 Physics for the people, by the people.
Encyclopedia | Requests | Forums | Docs | Random
Login
create new user
name:
pass:
forget your password?
Main Menu
sections
Encyclopædia
Papers
Books
Expositions

meta
Requests (49)
Orphanage (1)
Unclass'd (3)
Unproven (20)
Corrections (1)

talkback
Polls
Forums
Feedback
Bug Reports

downloads
Snapshots
Newsletters
Statistics

information
Docs
Classification
News
Legalese
History
ChangeLog
TODO List
acceleration (Definition)

The acceleration of an object is the time derivative of its velocity. Like velocity, acceleration can therefore be considered either as a vector quantity or as a scalar quantity. Acceleration is usually denoted by the symbol $ a$ , by $ \dot v$ (the time derivative of the velocity) or by $ \ddot x$ (the second time derivative of the position). We can write the definition of acceleration (in vector form) as follows:

$\displaystyle \mathbf{a}(t)\equiv\frac{\mathrm{d}\mathbf{v}(t)}{\mathrm{d}t}. $

The SI unit of acceleration is $ \mathrm{m/s^2}$ (metres per second per second, or metres per second squared). Another unit of acceleration is $ g$ , defined as $ g=9.80665\;\mathrm{m/s^2}$ ; this is approximately the acceleration due to gravity at the surface of the Earth at a latitude of $ 45^\circ$ .

In addition to acceleration as the time derivative (instantaneous rate of change) of velocity, the average acceleration, or the change of velocity $ \Delta\mathbf{v}$ over a specified period of time $ \Delta\mathbf{t}$ , can also be defined:

$\displaystyle \mathbf{\bar a}\equiv\frac{\Delta\mathbf{v}}{\Delta t}. $

In classical mechanics, acceleration is caused by forces. If a total force $ \mathbf{F}$ acts on an object with constant mass $ m$ , the object undergoes an acceleration $ \mathbf{a}$ as described by Newton's second law:

$\displaystyle \mathbf{F}=m\mathbf{a}. $
In contrast to velocity, which depends on the observer's system of reference, acceleration can be called an absolute quantity, in the sense that two observers moving with constant velocity with respect to each other perceive the same acceleration.



"acceleration" is owned by pbruin.
(view preamble)

View style:

See Also: velocity, ballistics (2D), position

Keywords:  kinematics

Cross-references: system, mass, classical mechanics, position, scalar, vector, velocity, object
There are 26 references to this object.

This is version 1 of acceleration, born on 2005-08-20.
Object id is 73, canonical name is Acceleration.
Accessed 2454 times total.

Classification:
Physics Classification45.05.+x (General theory of classical mechanics of discrete systems)
 45.40.-f (Dynamics and kinematics of rigid bodies)
 45.50.Dd (General motion)

Pending Errata and Addenda
None.
Discussion
Style: Expand: Order:

No messages.

Interact
rate | post | correct | update request | add derivation | add example | add (any)