The star Proxima Centauri is $4\mathrm{.}24$ light$-$years from Earth. Imagine a spaceship that travels from Earth to Proxima Centauri at a constant speed of $0\mathrm{.}932$c$.$ On Earth, we would measure the time it takes for the ship to reach the star to be

$4\mathrm{.}24$ ly$0\mathrm{.}932$c

$=4\mathrm{.}55$ years.

$($a$)$

How much time $($in years$)$ would it take the ship to travel from the Earth to the star as measured by an astronaut aboard the ship?

years

$($b$)$

What is the distance to the star $($in light years$)$ as measured by an astronaut aboard the ship?