In the missions where you have to follow Black Cat, try not to swing from building to building because you will not be very accurate and fall too far behind. Instead, try flinging yourself from building to building. To do this, hold the X (Jump) and when it is fully charged, also hold L2 (Turbo). Then, still holding L2 + X, run to the edge of the building and release X, but continue to hold L2. This will fling Spider-
Man farther than just jumping, and is much more accurate than swinging. Also, if you are just about to land on a building, but are slightly short of making it to the top, try using the zip line (L2, R2) when you can still see the top of the building. Note: You must buy the zip line first. It should attach to the top and zip you over.