Sam is on a spaceship that travels from Earth to Proxima Centauri at 70% the speed of light, or 0.7c, relative to Earth. Erma is an observer on Earth. From Sam's perspective, 1.35 x 108 seconds passed between when the Earth was near him and when Proxima Centauri is near him
First we consider velocity and time: How fast in m/s is Sam moving as measured in the rest frame of the rocket? How fast in m/s is Erma moving as measured in the rest frame of the Earth? How long in seconds did Sam's journey take according to Erma? According to Sam, the Earth is moving away from him and Proxima Centauri is moving towards him, both at the same speed. How fast in m/s are Erma and Proxima Centauri moving according to Sam? According to Sam, Proxima Centauri is traveling toward him at a speed you determined above, and it took 1.35 x 108 s to reach him. How far in meters did Proxima Centauri travel in this time? |
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