Yeah... see, the writers could have used a simple calculator to make accurate statements.
Ideally, yes. But making a weekly TV show is a very complicated and rushed operation. A thousand things have to be juggled and put into place on a tight schedule, and so the makers have to prioritize what's essential to get right and what's minor enough to let slide. So sometimes not every i gets dotted. There just isn't time. Armchair quarterbacks have the time and luxury to obsess over every insignificant detail and demand that it be perfect, but actual TV producers only wish they could have that time and luxury.
Any story will need time to be developed. Having someone double check your story for inconsistencies and apply minor fixers would be prudent before submitting it for final draft, and you can go do something else.
Christopher, do you have references for the quoted values of .5c and .75c?As I said in post #14 above, the tech manuals never said ships are limited to 0.25c. That's a common misapprehension based on a misunderstanding of the term "full impulse" as used in the Star Trek Encyclopedia. "Full speed" is a naval term that means the maximum standard speed at which a ship normally operates. The term for its maximum possible speed is "flank speed."
What the TNG Tech Manual actually says (on pp. 75-8) is that normal impulse operations are kept below 0.25c by convention in order to minimize relativistic effects, but that the main impulse engine can drive the ship up to 0.75c before needing to draw on additional thrust from the Saucer Module engines -- although impulse engines are most efficiently below 0.5c.
I learned long ago that trying to get any sense or consistency out of numbers in Star Trek is a futile effort. It's generally best just to treat the numbers spoken onscreen as placeholders. The writers and filmmakers aren't trying to solve math problems, they're trying to entertain people, and the numbers are just a bit of texture meant to create a fleeting impression. So they're rarely thought through carefully enough by the writers to have any real consistency.
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