Actually if you look closely the door doesn't actually close. Just look at it again but I can see how you made the mistake.
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MrsDourdan writes:
Actually, we hear the car door slam shut, not see it.
But in the shot where it's open again, the cops have already arrived. It's possible that they opened the car to ascertain that no one was inside. The whole shot isn't a smooth motion, there's time that lapses between him storming into the room and then the pan back out of it.