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How fast do Sisko, O'Brien, and everyone else on Deep Space Nine think Riker is traveling?
Remember, by length contraction, one of the ''Enterprise''''[punch]''s kilometers is only half of one of Deep Space Nine's kilometers. And by time dilation, one of the ''Enterprise''''[punch]''s seconds lasts for two of Deep Space Nine's seconds. So Sisko and O'Brien see Riker as traveling only 6,000 kilometers per second faster than the ''Enterprise''. They do not think that Riker is traveling at 94.6% of the speed of light (86.6% + 8%). They think that Riker is traveling much slower, only 88.6% of the speed of light.
But Riker did the same thing Kira did. He burned the same amount of rocket fuel.
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