The starship Enterprise approaches the planet Risa ata speed of 0.8 c relative t

Question

The starship Enterprise approaches the planet Risa ata speed of 0.8c relative to the planet. On the way, itovertakes the intergalactic freighter Astra. The relativespeed of the two ships as measured by the navigator on theEnterprise is 0.5c. At what speed isAstra approaching the planet?

a. 0.6c
b. 0.92c
c. 0.3c
d. 0.5c
e. 0.99c The starship Enterprise approaches the planet Risa ata speed of 0.8c relative to the planet. On the way, itovertakes the intergalactic freighter Astra. The relativespeed of the two ships as measured by the navigator on theEnterprise is 0.5c. At what speed isAstra approaching the planet? 0.6c 0.92c 0.3c 0.5c 0.99c

Explanation / Answer

From the relativistic addition of the velocities ,wehave The speed of the Astra approaching the planet is            v = (u-v')/(1- uv'/c2) Here u =0.8 c           v' = 0.5 c On substitution ,we get            v = 0.5 c

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