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Relativistic velocity-addition formula

For a boost of speed

V

along

x

,

u_{x}^{'} = \frac{u _{x} - V}{1 - V u _{x} / c ^{2}}, u_{y}^{'} = \frac{u _{y}}{γ _{V} ( 1 - V u _{x} / c ^{2} )} .

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Solution