This scenario is directly related to the Inertia of direction, which states that an object will stay moving in the same direction unless a force acts on it.
If you need to add more to the answer above, you can probably say something about how the sudden change in direction will cause your body to want to continue on in the direction it was originally going, so the car veering suddenly will cause you to be violently pulled in it's direction.
I like to think of it like a car crash, the reason why head-on collisions are so deadly are because the car will halt but your body will continue moving at the same speed the car was going.
That's my best guess. Hope this helps! :)
