Let there are two inertial frames of references S and S’. S is the stationary frame of reference and S’ is the moving frame of reference. At time t=t’=0 that is in the start, they are at the same position that is Observers O and O’ coincides. After that S’ frame starts moving with a uniform velocity v along x axis.

Suppose a particle P is place in frame S’ and it is moving.

The velocity component of particle P from observer O’ in frame S’ will be:

u’_{x} = dx’/dt’ (1a)

u’_{y} = dy’/dt’ (1b)

u’_{z} = dz’/dt’ (1c)

The velocity component of particle P from observer O in frame S will be:

u_{x} = dx/dt (2a)

u_{y} = dy/dt (2b)

u_{z} = dz/dt (2c)

From Lorentz transformation equations: Continue reading “Relativistic addition of velocity”