Another trophy you can snag early on...
Once you are in the city, get low into the streets, preferably on a street lamp. Hit R1 and focus on a destination (a yellow image of Spidey will highlight where you can go

). I usually selected another street light to zip to. Once you have initiated this, which is the Web Rush, a shining dot will appear where you are about to land. Before you get to that point, hit R1 again and select a new destination.
Repeat this process 10 times in a row and the trophy will pop.