consider-two-reference-frames-s-and-s-aligned-in-the-standard-orientation-with-t

Question

Consider two reference frames S and S' aligned in the standard orientation, with the motion taking place parallel to the horizontal axis (the x- and x'-axes). Times t = 0 and t' = 0 are defined as the instants when the origins of S and S' coincide. Establish the velocity transformation equation for u_{z} and u'_{z}. Assume (u_{x}', u_{y}', u_{z}' ) are constant velocities in the S'-frame.

Accepted Answer

u'_{z} = u_{z} / (1 - (v × u_{x} / c²))u_{z}= u'_{z} / (1 + (v × u'_{x} / c²))

Answer

u'_{z} = u_{z} / (1 + (v × u_{x} / c²))u_{z}= u'_{z} / (1 - (v × u'_{x} / c²))

Answer

u'_{z} = -u_{z} / (v × u_{x} / c²)u_{z}= u'_{z} / (v × u'_{x} / c²)

Answer

u'_{z} = u_{z} / (v × u_{x} / c²)u_{z}= -u'_{z} / (v × u'_{x} / c²)