Take a powerful car - like the Comet or the Phoenix. Remember to have your car in a nice condition before doing the mission, if your car get's on fire and you will have to take another one, Mrs. Dawson can run away and the mission is failed. Park it on the blip on the radar and wait for the cutscene. Follow her car and ram it as hard as you can, even if your car is swirling out of control. Her comet will take about seven to eight hits and you'll spend much collisions spinning out, so keep checking on her direction so you can right the car and head after her. Another strategy is to flip her car over, but this can be extremely difficult. You'll be told when the car is about to explode so then back off the vicinity and wait for the explosion, then the mission concludes.
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