Eh, speedwise I'd have argued he was even from the trailer for the first movie.
Video
I mean, ignore the casual point-blank bullet dodging when the cop shoots at him, how fast does a guy have to be to soundlessly get into a
locked car without the handy gadget the car thief was using, in the time it takes the guy to open the door? (And the guy was looking in that direction for a fair period of time, so the time frame is probably smaller than that, for Spidey to have gotten in unnoticed.)
I don't remember Tobey-Spidey ever pulling anything like that.