Please derive the attatched velocity transformations by using the Lorentz transformation for the velocity four vector (uμ). (hint: two of the Lorentz transformation equations are needed to solve this)

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Please derive the attatched velocity transformations by using the Lorentz transformation for the velocity four vector (uμ). (hint: two of the Lorentz transformation equations are needed to solve this)

v' =
Vx - V
1- Vux/c²¹
v=
v₂√1-V²/²
1- Vu₂/c²
v/₁₂ =
v₂√1-V²/²
1- Vv₂/c²
Transcribed Image Text:v' = Vx - V 1- Vux/c²¹ v= v₂√1-V²/² 1- Vu₂/c² v/₁₂ = v₂√1-V²/² 1- Vv₂/c²
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