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h2. Defnition 
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The time rate of change of velocity.  Acceleration is a vector quantity.  For one-dimensional motion, the direction is often specified by the mathematical sign of the acceleration.  A positive acceleration indicates motion in one (arbitrarily chosen) direction, while a negative acceleration indicates the opposite direction.  An acceleration that points in the direction opposite of the velocity is sometimes called a deceleration.
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h2. Representations

h4. Differential 
  {latex}\begin{Large} $v$a = \frac{dxdv}{dt}$\end{Large}{latex}
h4. Integral
 {latex}\begin{Large} $v_{\rm f} = v_{\rm i}+\int_{t_{\rm i}}^{t_{\rm f}}a\:dt$\end{Large}{latex}\\
{latex}\begin{Large}$v_{\rm f}^{2}=v_{\rm i}^{2}+2\int_{x_{\rm i}}^{x_{\rm f}}a\:dx$\end{Large}{latex}
h4. Graphical
  Besides explicit velocityacceleration graphs, velocityacceleration can be found from the slope of a distancevelocity vs. time graph or (iffrom the initial velocity is knowncurvature (concavity) byof adding the area under an accelerationa position vs. time graph to the initial velocity.
h4. Through Motion Diagrams
  In a motion diagram, the velocityacceleration can be estimated by looking at the spacing of the individual snapshots (assuming that the snapshots are separated by equal time intervals).  If the spacing is increasing with time, the acceleration is in the direction of motion.  If the spacing is decreasing with time, the acceleration is opposite to the direction of motion.

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h2. Relevant Models

 {children:page=Two-Dimensional Motion (General)|depth=all}

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h2. Relevant Examples

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