REWARDS - Respect
Watch the cutscene until you get to control your character. You can't kill Pulaski as he runs to his car, so get in the Bandito nearby and start to chase him. Follow him as he twists and turns, getting in shots with an Uzi (MP5 recommended, since his car is built strong).
Eventually, he'll probably get himself trapped in some corner where he'll be a sitting duck. When his car catches on fire, he'll get out, so kill him when he does (he's one tough cookie though). The mission is complete when he dies.