Question: Proxima Centauri and Alpha Centauri are the closest stars to earth at about 4 . 3 light years. There is evidence of an earthlike planet

Proxima Centauri and Alpha Centauri are the closest stars to earth at about 4.3 light years. There is evidence of an earthlike planet orbiting Proxima Centauri in the habitable zone (a range of distance where liquid water can exist). A few members of a colony living on a planet orbiting PC set out for AC in a rocket that travels at 0.6c. The distance between PC and AC is 13,000 AU or 1.95 x 1015 m.
a. How long will the journey take (in years) according to those left behind on Proxima Centauri?
b. How much time (in years) will it take as perceived by the colonists on the rocket and what will be the distance covered as they see it?

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