ENT Season 2 Episode 24 First Flight

Plot

As Enterprise is about to investigate a dark matter cloud, Captain Archer is informed by Admiral Forrest that his former Starfleet colleague, Captain Robinson, has died in a rock climbing accident. Archer, seeking solitude, desires to travel into the nebula in a shuttlepod armed with spatial charges to excite the dark matter. Sub-Commander T'Pol, noting that captains are prohibited from traveling off-ship unaccompanied, joins him and convinces him to tell the story of his friend Robinson and the Warp 5 program.
In a series of flashbacks, Commander Archer meets with Commodore Forrest, and is informed that although he excelled in simulations, his colleague Commander Robinson has been awarded the test ship, the NX Alpha. Disappointed, Archer goes to the 602 Club, a local bar, bumping into Robinson there. Later, Robinson takes the scheduled flight aboard the NX Alpha, breaking the warp 2.0 barrier. He refuses a command from Forrest to stop and instead increases speed; the craft soon destabilizes and is destroyed as it approaches warp 2.2, but Robinson escapes. The Vulcans argue that the warp program should be postponed, but Archer wants the program, and his father's engine research, to continue. Archer, and his new friend Lieutenant Tucker, then go to the 602 Club to discuss the problem. Robinson arrives and blames Archer's father, and he and Archer end up in a fist fight.
The next day Archer discovers Robinson packing up the contents of his locker. He concedes that it is primarily an intermix problem, but that the engine could still work. Archer and Robinson then steal the NX Beta, with Tucker in flight control, but it starts to suffer the same issues as the Alpha. As Starfleet security detains Tucker, Archer and Robinson coax the engines to warp 2.5. Archer and Robinson are reprimanded, and the program is grounded for a year, but they have proved that his father's design was sound.
Archer launches his final two charges into the cloud, and a breathtaking nebula slowly reveals itself. Archer calls T'Pol to watch the actual nebula with her eyes, rather than monitor it through the sensors. T'Pol mentions the human tradition of first discoverers of astronomical phenomena having naming rights. Archer makes a sarcastic crack about calling it the "T'Pol/Archer Nebula". T'Pol gently responds that she was thinking Archer could name it the "Robinson Nebula", after his friend.