Galaxy A is moving away from us with a speed of 0.75c relative to the earth. Galaxy B is mobbing away from us in the opposite direction with a relative speed of 0.55c. Assume that the earth and the galaxies are moving at constant velocities, so they are inertial reference frames. How fast is Galaxy A moving according to an observer in Galaxy B?

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Proper Length

The theory of special relativity explains the connection between space and time to objects that move in a straight line at a constant speed. The objects move at the speed of light. When an object approaches light speed, its mass is endless and cannot move faster than light. The most crucial postulate of Einstein's special relativity is that the laws of nature do not change in each frame of reference.