Slowly speed up to where the hood of your car is on the side next to their trunk. When you are directly next to someone in a race and they are getting chased by a cop, if they are in front of you slow down to where you are directly behind them on either the left or the right.
This will get you 600, 700, or 800 points per getaway, 100 points for leading a lap, and 2,000 points for first place.
Set the single challenge options for one player, cops on, one opponent as an Elise, and traffic on or off. Select 'Single Challenge' at the main menu.