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@oddsock
or even simpler, race from point A to point B without overshooting point B, with the distance just enough to get up to top speed. brakeless will accelerate (-200g or so) faster but will have to slow down earlier.
Reminds me of the science fiction staple, the low but sustained acceleration voyage: you accelerate at 1g with your heads pointing forward so you get gravity for free. After a few day/weeks/months of this, you're going screamingly fast, but you have to turn around half way and decelerate at 1g otherwise you'll overshoot your destination.