Physics with Calculus/Mechanics/Relative Motion

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In an approximation termed Galilean relativity, when two objects are moving at \vec{u} and \vec{v} relative to a common inertial reference frame, the relative velocity between the two objects, in the frame of reference where one of them is still, is

\vec{v}_{\mathrm{ref}} = \vec{v} - \vec{u}
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