Because of the postulates of relativity, it is impossible to reach the speed of light, so the Galilean velocity equations u^{\prime} = u – v and u = u^{\prime} + v cannot be used on light.

Notation for the relativistic velocity addition equations. If the bullet were fired back toward the earth then its velocity value would be negative. The velocity quantities are vectors.
A rocket is moving very fast away from the earth and shoots a bullet away from the earth.

Note that velocity values are vectors, and that the speed u^{\prime}, is always with respect to S^{\prime} where S^{\prime} is in relative motion to S.

The Galilean equations are modified as follows to be applicable at light speed:
u^{\prime} = u-v becomes u^{\prime}= \frac {u-v}{1-\frac{uv}{c^2}}.
u=u^{\prime}+v becomes u=\frac{u^{\prime}+v}{1+\frac{u’v}{c^2}}.

These modified equations allow us to use Galileo’s velocity additions with the speed of light.

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