Proxima Centauri and Alpha Centauri are the closest stars to earth at about $4\mathrm{.}3$ 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 $0\mathrm{.}6$c$.$ The distance between PC and AC is $13,000$ AU or $1\mathrm{.}95$ 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$?$