All of the flagship starships of humanity/the Federation get the name Enterprise: Enterprise NX-01, USS Enterprise NCC-1701, USS Enterprise NCC-1701 D, etc.
Flagships of the United Federation of Planets could be named under a naming convention following from the first Warp 5 starship of humanity, the Enterprise NX-01 (humans were the dominant race in the Federation after all). But, how did Enterprise NX-01 get its name? And how did this naming convention arise?
What's the in-universe history behind this naming?