Corrected entry: Kirk said that the creatures planet was 1000 light years away, later on in the episode he states that they are only 17 days away from said planet. At the Enterprise cruise speed of warp 5 it would take them about 46 years to get there, even if they could maintain their theoretical maximum speed of warp 9.6 it would take them about 5 years. To get there in 17 days they would have to achieve an impossible warp factor of 27.8.
Star Trek (1966)
1 corrected entry in Obsession
Is There in Truth No Beauty? - S3-E5
Other mistake: In the final scene, Kirk is still in the transporter room, but does not have on a visor when the ambassador transports out. Even if he did, humans can still go mad if wearing one and that's why Spock operates the transporter. Spock has his visor on, but then you see Kirk walk out of the transporter room without a visor and he is not going mad.
Capt. Kirk: Space, the final frontier. These are the voyages of the starship Enterprise. Its 5-year mission: to explore strange new worlds, to seek out new life and new civilizations, to boldly go where no man has gone before.
Trivia: The Vulcan Nerve Pinch was invented by Leonard Nimoy as a way for Spock to overpower opponents without having to resort to violence.
The Corbomite Maneuver - S1-E11
Question: At the beginning, Mr Sulu calls for Captain Kirk to report to the bridge, but Kirk in sick bay does not get that message. Why?
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Correction: Since the show never establishes what the warp factors mean in terms of velocity, the entire point is kind of moot.
JC Fernandez