PeterDebney
Banded Mongoose
Oops the maths definitely left orbit there. That all seems much more reasonable.I think you dropped some decimals... so Earth, let's call it 30 kilometers per second ( a little high and ignoring that it's an orbit and not a straight line...) then accelerating at, let's just simplify and call it 10 m/s^2, that's 30,000 meters per second, so 3000 seconds to 'match velocity'. About 50 minutes.
The more fun thing is that star are orbiting the galaxy at varying velocity, eccentricity and vector. Most are probably close to another 30 kps in various directions, but some are higher. Groombridge 1830, if I recall correctly, clocks in at about 300 kps relative to Sol. So that's eight hours and change at 1 g. All such factors are generally ignored in Traveller. You could add it to your game, but only if you really enjoy making things extra difficult to play without calculators or spreadsheets. I'm going to stick with my don't-look-behind-the-curtain handwavium answer...
And as for the handwavium, even the hardest SF requires some