Destination Moon is a 1950 science fiction film produced by George Pal (War of the Worlds, Time Machine, When Worlds Collide). Robert Heinlein is one of the writers. It won an Academy Award.
We don't get lift-off until half-way through the 4th clip below. [Those clips have since been removed, but Youtube has it online with embedding disabled here.]
Moria says, "There is surely no other science-fiction works around that can be accused of being so close to the real events that they are like watching documentaries," and calls it "the first film of the so-called Golden Age of Science-Fiction Cinema that lasted from around 1950 to 1957." 1000 Misspent Hours gives it a positive review. StompTokyo says it "was long revered as a model of scientific accuracy". The New York Times says, "we've got to say this for Mr. Pal and his film: they make a lunar expedition a most intriguing and picturesque event." SciFi.com has a review. io9 has links to photos.