Star Trek: Enterprise (2001)
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Captain Archer: We should be entering the nebula.
Subcommander T'Pol: The readings could be misleading.
Captain Archer: As Dr. Phlox would say - optimism.
Subcommander T'Pol: Optimism doesn't alter the laws of physics.
Trivia: A film reference to Star Trek: First Contact: Archer says something about a group of cybernetic creatures (The Borg), that tried to stop Cochrane from launching his mission into space that was stopped by a group of humanoids, that were also from the future (USS Enterprise NCC 1701-E).
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Answer: Warp factor has always been inconsistent and hard to pinpoint, or there's too many episodes that contradict the conversion rates. Changes were made in converting warp factor into actual speed between TOS and TNG. It seems ENT reverted back to using TOS method, which is "warp factor cubed" equals how many times the speed of light they traveled. So warp 4.5 means 91.125 times the speed of light (c). Although in "Broken Bow", with the travels from Earth to Neptune and back in about six minutes means warp 4.5 is about 86*c. However, in "The Expanse" episode, warp 5 was 200*c (instead of 125). 1 ly at 91.125*c is about 4 days, but 100 ly would be 400 days.
Bishop73