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2. Alex and Charlie start running around a circular track at the same time. The track...

2. Alex and Charlie start running around a circular track at the same time. The track has a radius of 160 meters. Alex starts at the westernmost point and runs counterclockwise, taking 200 seconds to run one lap. Charlie runs clockwise at 3 meters per second and passes Alex for the first time after they have been running for 25 seconds.

(a) From when he begins running, how long does it take Charlie to reach the northern- most point of the track?

(b) How many meters north or south of his starting point is Charlie after he has been running for 1200 seconds? Specify the number of meters, and whether Charlie is north or south of his starting point.

Answers

(a) 150.663706 seconds (b) 260.5559 meters north

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