Carbon Creek - S2-E2
Factual error: Part of this episode takes place in the 50s, during a previously-unknown incident of Vulcans crash landing on earth. Modern twenty and fifty dollar bills are visible in the tip jar.
Factual error: When Capt. Archer joins Travis in a weightless environment he refers to in an earlier episode as the ship's "sweet spot", Travis discusses the bad news he received from The Horizon, his parents' cargo ship, with Capt. Archer, and you see tears rolling down (and off) Travis's face. In a weightless environment the tears would not react in this way. (00:06:20 - 00:07:40)
Carbon Creek - S2-E2
Factual error: The story takes place in 1957 (Sputnik is already in orbit). At the end, T'Mir sells her invention, which ends up being Velcro (technically hook and loop fastener). However, George de Mestral obtained the patent for Velcro in 1955, and by 1957 he had already expanded into the United States.
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