Dick Steel attempts to save the president by hooking a cable to the bumper of his limo, which fails when the bumper comes off. When the car hits the water you can clearly see that the bumper is still on the car.

When Steele puts on his golf polo, he leaves it untucked and the collar unbuttoned while he is talking to the "major babe". When he stands up from the bed, the collar is buttoned and the shirt is neatly tucked into his pants.

Near the end, when WD-40 is tied up and the henchman walks up to him, he falls down and his arms are tied at the elbow. But when he tags in, he's tied at the wrist.

When Dick is in the lab talking about new technologies, the can's lid pops up twice.

General Rancor states that the missile will launch in 36 hours, yet way more time than that has passed before he and Steel meet.

Busses use vacuum brakes. If you "cut the brake line" the brakes will immediately apply fully on.

In the opening scene, a parachute jumper is shown from wider angle for a moment. You can clearly see he is a stunt double, not Leslie Nielsen himself.

When Dick empties her purse, things are clearly dropped from above him.

Ford Motor Company didn't make the Pinto in 1969. They only made them between 1971 and 1980.

The prologue (with Alex Trebek's stylistic reading of the mission tape) is set 15 years in the past, a few years before Trebek began hosting Jeopardy!.