Character mistake: At the end of the movie, the rescue plane changes its callsign to Air Force One because the protocol is "Air Force One" is the callsign for any U.S. military plane (or, more specifically, an Air Force Plane) with the President on board, not just the blue and white 747. Thus, it would not be used for a plane on which the president is not on board. This is an important detail considering that for most of the middle section of the film, the terrorists believe the president has escaped and that they are dealing with a random secret service agent resisting them. The vice president and other administration officials dealing with the terrorists don't want them to know the president is still on board, as it could motivate the terrorists to threaten his family further. So, when the fuel tanker shows up to refuel the plane and addresses it as "Air Force One" to give instructions on the procedure, they are inadvertently confirming that the president is on board. To maintain the ruse, they should use the callsign "SAM-28000" or "Air Force 28000" when talking to the terrorists, referring to the plane's tail number. Similarly, any time an official makes a statement about the incident in public, they could refer to the plane as "28000" to keep up the ruse to the press (though it's not uncommon to refer to the 747s as "Air Force One" for the sake of simplicity in casual or non-official capacities, an instance of one plane communicating with another would not be).

Air Force One (1997)
1 character mistake - chronological order
Directed by: Wolfgang Petersen
Starring: Gary Oldman, Harrison Ford, Glenn Close
Plot hole: After the President sabotages the fuel pumps, two of the bad guys go down and manage to repair the damage. They then proceed to go back upstairs and (supposedly) lock the President downstairs... Where he would be free to simply sabotage the fuel pumps again.
Suggested correction: Harrison Ford tricks the other Russian watching the conference room door and holds him at gun point to escape the cargo hold, you can't miss it.
The point by the poster is that the guys who fixed the sabotage didn't know the president had escaped, so they thought they were locking him in the lower compartment where he could then just sabotage the plane again.
President James Marshall: I trusted you with my life!
Agent Gibbs: So will the next president!
Trivia: One of the secretaries tells the president she can send a fax to the White House, and he replies something like: "If this works, I'll make you Postmaster General". In the closing credits, she's credited as "Future Postmaster General".
Question: What happened to the terrorist Harrison Ford apprehended? Did he parachute with everyone else?
Chosen answer: He fell out the back without a parachute when the door blew open. We see him both tumble off the ramp, and another shot of him falling from below.
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