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Acceleration

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The average acceleration <\vec{a}> of a particle as it moves from one position to another is defined as the change in the instantaneous velocity vector \Delta \vec{v} divided by the time \Delta t during which that change occurred. The SI unit for acceleration is the metre per second square (m s–2).

<\vec{a}>=\frac{\Delta \vec{v}}{\Delta t}

The instantaneous acceleration \vec{a} is defined as the limiting value of \frac{\Delta \vec{v}}{\Delta t} as \Delta t approaches zero:

 \vec{a}=\lim_{\Delta t\to 0}\frac{\Delta \vec{v}}{\Delta t}={\operatorname{d}v\over\operatorname{d}t}

Deceleration, or retardation, is the negative of acceleration. Acceleration and retardation are both vector quantities.
Last Updated on Thursday, 18 February 2010 20:56  

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