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Answer the problem with exact values. Show your work for problem 13 on this page. 136 A racing car is doing a steady 150 km/hr

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Answer the problem with exact values. Show your work for problem 13 on this page. 136 A racing car is doing a steady 150 km/hr (kilometers per hour) around a circular track. Suppose there is a light source at the center O of the track and a fence tangent to the track at a point P (see the figure), where the track is of radius r, and the car, at point Q is moving in the counterclockwise direction. How fast is the car's shadow (the point S in the figure) moving when the car has gone one eighth of a lap from P? P Fence 13 Q Light Source

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