Modern Physics

Relativistic Velocity Addition

u=u+v1+uvc2u = \frac{u' + v}{1 + \frac{u'v}{c^2}}

How velocities add in special relativity. Ensures no velocity exceeds c.

Variables

u
Velocity in S frame
m/s
u'
Velocity in S' frame
m/s
v
Relative velocity of frames
m/s
c
Speed of light
m/s

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