Yeah, I treated it like a puzzle too, and I think I can see where the car comes from... bear with me.
I think it comes from between the tram and the white truck (or possibly behind the truck and car), gunning it and risking a lot to get through the oncoming traffic. You can see it's lights before the cars begin to cross - accelerating quickly just before they go out of view - between the truck and the tram. you also see the lights briefly in reflections from the other side of the road.
You can also see the rear of the "ghost car" if you look carefully at the profile of the right hand side of the car in front of the camera car, the car in front just happens to block the view almost pefrectly throughout the video.
No tricks, no after effects, just an idiot gunning through an intersection and tricksy viewing angles.