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Galaxy A moves away from galaxy B at 0.700 c0 relative to B. A spaceship leaves...

Galaxy A moves away from galaxy B at 0.700 c0 relative to B. A spaceship leaves a planet in galaxy A traveling at 0.550 c0 relative to galaxy A. If the direction in which the ship travels is the same as the direction in which A is moving away from B, what do observers in B measure for the ship's speed?

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Answer #1

The addition law in relativistic speed is also called a composition law for velocities. For collinear motions, the velocity of the sheep relative to observer in galaxy Bis given by

Observed speed,

s = v*u/(1+v*u/c^2)

= 0.55 c*0.70 c / (1+.55c*.70c/c^2)

=0.9025 c.

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