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Velocity


 v=(dr)/(dt),
(1)

where r is the radius vector and d/dt is the derivative with respect to time. Expressed in terms of the arc length,

 v=(ds)/(dt)T^^,
(2)

where T^^ is the unit tangent vector, so the speed (which is the magnitude of the velocity) is

 v=|v|=(ds)/(dt)=|r^'(t)|.
(3)

See also

Angular Velocity, Radius Vector, Speed

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Cite this as:

Weisstein, Eric W. "Velocity." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Velocity.html

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