I think with a play time of 3,000 years they were assuming it'd not be possible to reach a decent fraction of the speed of light with a life sustaining vessel.

Interesting to know that that is possible, I thought inertia increases with speed so the closer you get to c the more energy input you'd need to sustain acceleration. Maybe that doesn't kick in until well over half c though.

What type of fuel and how much is required for say a apollo command module type passenger cabin?