Question
Prove that for any relative velocity $v$ between two observers, a beam of light sent from one to the other will approach at speed $c$ (provided that $v$ is less than $c,$ of course).
Step 1
Step 1: We start with the formula for the addition of velocities in special relativity: \[u = \frac{v + u'}{1 + \frac{vu'}{c^2}}\] where $u$ is the velocity of the light beam in the frame of the first observer, $v$ is the relative velocity between the two Show more…
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