Other mistake: When they first get into space and Tish removes her helmet her left earring is free floating, which would be expected in zero gravity. But after this first shot, her earrings hang down as effected by gravity. Also all three of the girls hair hang down with gravity the whole time they are in space. (00:54:45 - 01:03:15)
Space Camp (1986)
Plot summary
Directed by: Harry Winer
Starring: Kelly Preston, Lea Thompson, Kate Capshaw, Larry B. Scott
A group of teenage wannabe astronauts enjoy a Summer at Space Camp and soon find that only by working as a team can they avert disaster when a sentient robot called Jinx grants the wish of young Max (an avid Star Wars fan) to go in to space.
He ensures that there is a mechanical error which means, during an engine test with the kids on board, the shuttle must be launched. At the controls are Kathryn (a serious academic and pilot), Kevin (who only went to Space Camp to get a car off his father), Rudy (who wants to open a fast food franchise in Space), Trish (who wants to make contact with extra terrestrials) and their instructor Andi (who feels threatened by up and coming Kathryn).
Between them, they must figure out how to safely return to Earth when they have limited oxygen and no contact with NASA. When Andi is injured, it's up to the kids to fly the shuttle and find a way home, as well as each learning about their personalities along the way.
More mistakes in Space Camp
Kevin: You know, there's this, uh, full moon out tonight.
Kathryn: What, are you gonna turn into a werewolf or something like that?
Trivia: Space Camp was filmed at the U.S. Space and Rocket Center in Huntsville, Alabama at the real U.S. Space Camp. The parts in the orbiter were filmed in the Atlantis orbiter used at the camp and the parts in the payload bay were filmed in the payload bay of the Enterprise orbiter that is used by Advanced Space Academy.
Question: If Lea Thompson wasn't strapped in during a launch, wouldn't she have suffered more than a couple of bruises from her body being wrapped around a steel column and being under 3G+ during the launch scene?
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Answer: Not necessarily. The 3 G's pretty well kept her pinned, so she wasn't bouncing around. If someone can fall 18,000 ft out of an airplane with only a sprained leg (one of several examples) then yes it's theoretically possible. If the guy in this story could withstand 42 g's strapped in, the yes Katherine could've survived 3 g's.
Https://www.pbs.org/wgbh/nova/article/gravity-forces/.