Answer:
The speed of the rocket is 0.75c.
Explanation:
Given that,
Speed of earth v= 0.600 c
Speed of rocket u= 0.930 c
We need to calculate the speed of the rocket
Using the formula for relativistic velocity addition
[tex]u=\dfrac{v+u'}{1+\dfrac{vu'}{c^2}}[/tex]
[tex]u'=\dfrac{u-v}{1-\dfrac{vu}{c^2}}[/tex]
Put the value into the formula
[tex]u'=\dfrac{0.930c-0.600c}{1-\dfrac{0.930\times0.600c}{c^2}}[/tex]
[tex]u'=c(\dfrac{0.930-0.600}{1-0.930\times0.600})[/tex]
[tex]u'=0.75c[/tex]
Hence, The speed of the rocket is 0.75c.
