This chapter is all about catching up with the target and taking him out. Just keep chasing him until you reach an alley where you can close the distance and take the target out. Just ram the target's vehicle to complete this chapter.
If you're after a trophy (Vender Bender), you have to smash 90 vendor stalls along the way. There are more than 90 stalls here so just run over and destroy the ones whenever you can. Restarting the checkpoint won't reset the count but it is cumulative instead.