A car is driving on a track that is sectioned off. Each section has a different speed limit. The first zone is 1 mile long and has a speed limit of 20 mph. Zone 2 is 1 mile long and has a speed limit of 60 mph. Zone 3 is 1 mile long and has a speed limit of 30 mph. Zone 4 is 0.5 miles long and has a speed limit of 20 mph. The driver must have already decelerated to the new speed limit before entering the new zone, meaning they should be going 30 mph at the exact moment they pass into Zone 3. The driver may only accelerate when he has reached a zone with a higher speed limit. The driver accelerates and decelerates at 10.23 mph/s.
Calculate the driver's distance traveled at 10, 120, and 160 seconds into the track.
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