Question 1163750: Quinn is running around the circular trackx2+y2= 10000, whose radius is 100 meters,at 4 meters per second. Quinn starts at the point (100,0) and runs in the counterclockwisedirection. After 30 minutes of running, what are Quinn’s coordinates?
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! runs at 4 m/sec or 7200 m in 30 min, which is 1800 sec.
the circumference is π*d, and the diameter is 200 m, so circumference is 200π=628.3185 m
He will do 11 complete laps with 288.496 m left over, which is 2.885 radians or 0.9183π radians or 165.296 degrees from the start (second quadrant)
The cosine of this value is -0.96725 or in x value, -96.725 m
the sine is 0.25382 or +25.382 m y-value
(-96.7m, 25.4m)
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