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Definition
Velocity is the time rate of change of position. Velocity is a vector, and so has magnitude and direction. For one-dimensional motion, the direction is often specified by the mathematical sign of the velocity. A positive velocity indicates motion in one (arbitrarily chosen) direction, while a negative velocity indicates the opposite direction.
Representations
Differential
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$\end
Integral
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= v_
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+\int_{t_{\rm i}}^{t_{\rm f}} a\:dt$\end
Graphical