Question

The nearest star, Proxima Centauri, is 4.22 light years from the Earth. Ignoring relative motion between the solar system and Proxima Centauri, suppose that a spacecraft accelerates from the vicinity of the Earth at 0.01g (0.01 times the acceleration due to gravity at sea level) until it reaches one-tenth the speed of light, coasts until it is time to decelerate, and then decelerates at 0.01g until it becomes to rest in the vicinity of Proxima Centauri. How long does the trip take? (Light travels at 3x10^8 m/s.)

Please show all steps.

Answer 1