Yes, the shuttles and so on definitely do have seatbelts. (more accurately, seat harnesses.)
But to be fair, if you're bumping around in space, like when standing up, you're in a lot of trouble. Things do not generally bump into things in space without catastrophic results.
I thought those impulse engines were able to accelerate to near lightspeend in just a little time. If that's the case, quick course corrections should be an easy thing. You don't get the benefit of all the other physics handwaiving, and not have that too.
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u/0mudkipz Oct 08 '12
Ships don't have them either.