velocity (one-dimensional)

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

1. Differential

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   \begin

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   $v = \frac

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   $\end

2. Integral

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   \begin

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   $v_

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   = v_

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   +\int_{t_{\rm i}}^{t_{\rm f}} a\:dt$\end

3. Graphical