Car crashes with minor vehicle damage are a little confusing; if the car wasn't damaged much, it must have been a very minor crash, and so the occupant shouldn't be injured. Right?
In fact, researchers have specifically looked at this problem, and have found that there is no relationship at all between the amount of damage a car received in a crash and the amount of occupant injury.
Here are the facts about low impact collisions:
(If you have trouble opening the videos, visit the IIHS site here and click on the videos link.)