- #1
zimo
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Homework Statement
Prove the law of transformation of velocities
[tex]\begin{array}{l}
{v_x} = \frac{{{v_x}^\prime + V}}{{1 + {v_x}^\prime V/{c^2}}}\\
{v_y} = \frac{{{v_y}^\prime }}{{\gamma (1 + {v_x}^\prime V/{c^2})}}\\
{v_z} = \frac{{{v_z}^\prime }}{{\gamma (1 + {v_x}^\prime V/{c^2})}}
\end{array}[/tex]
Homework Equations
Rapidity equations
The Attempt at a Solution
I proved Vx with an ease using rapidity equations and the identity for tanh(a+b)
now, I'm stuck with revealing the relation to Vy and Vz.