Wasn’t something like that in “Footloose”?
You might be thinking about the game of chicken using tractors.
Kevin Bacon gets his shoe string caught on the brake pedal and can’t jump off.
The driver of the other tractor bails and his tractor goes off the trail and overturns.
Bacon wins the game because of a shoe string.
Don’t recall any jumping out of moving cars in the movie but I only watched it once.