Question

Derive inverse velocity transformation using velociy transformation

Answer 1

Answer:

Consider two frames,  and , in the standard configuration. Let  be the velocity of a particle in . What is the particle's velocity in 

Now we can write Eqs. (1346)-(1349) in

is the well-known Lorentz factor. If we substitute these differentials into Eqs. (1354)-(1356), and make use of Eqs. (1357)-(1359), we obtain the transformation rules