Good thing I didn't save, but as soon as the date was over, my damage proof car was vulnerable.
This type of date seems to be unique to Michelle, and it is by far the easiest date type of them all. For this date, Michelle wants to drive. If you were in a car when you started the date, then you'll automatically get out of the car and go over to the passenger side. If you were on foot, just get into a car and you will automatically switch seats when she gets in.
Now Michelle will drive around while the camera is in cinematic mode. All you can do during this date is change the radio station and change the camera view. The car being driven will also become immune to physical damage while Michelle drives, even if she does crash into something. After driving around for about 2 or 3 in-game hours, she'll drive back to her place and the date will end successfully.
However, it is still possible to fail this date. If you get out of the car, Michelle will drive off and the game will tell you that she stole your car. She will disappear right after the little cutscene though, so the car will just stop or crash into whatever is in front of it.