to infinity and beyond...

suppose you’ve got a spaceship with amazing engines that are able to provide an acceleration of \(1g\) measured inside the rocket, such that you would not notice any difference to living on Earth. what’s the time measured on clocks inside the rocket that would pass while travelling 1. to the centre of the Milky Way? 2. to the most distant quasars we see today? 3. the Hubble distance?