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Galaxy B moves away from galaxy A at 0.511 times the speed of light. Galaxy C moves away from galaxy B in the same direction at 0.743 times the speed of light. How fast does galaxy C recede from galaxy A. Express your answer as a fraction of the speed of light.

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boffeemadrid

Answer:

0.90891c

Explanation:

u = Speed of Galaxy B relative to Galaxy A = 0.511c

v = Speed of Galaxy C relative to Galaxy B = 0.743c

c = Speed of light

Relativistic equation for velocity is given by

[tex]w=\frac{u+v}{1+\dfrac{uv}{c^2}}\\\Rightarrow w=\dfrac{0.511+0.743}{1+\dfrac{0.511c\times 0.743c}{c^2}}\\\Rightarrow w=0.90891c[/tex]

The speed at which galaxy C recedes from galaxy A is 0.90891c

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