That's also a common Star Trek plot point. Many episodes involve the Enterprise catching up to a ship launched from Earth in the pre-warp era, typically an earl

That's also a common Star Trek plot point. Many episodes involve the Enterprise catching up to a ship launched from Earth in the pre-warp era, typically an early colony or exploration vessel. The most of famous of these might be Khan Noonien Singh's "Botany Bay:" https://memory-alpha.fandom.com/wiki/SS_Botany_Bay https://memory-alpha.fandom.com/wiki/SS_Botany_Bay