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A race car driver has two potential lines in the last turn of a race. The first line consists of a tight turn (R1 =

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A race car driver has two potential lines in the last turn of a race. The first line consists of a tight turn (R1 = 5m ) followed by a straight line flat out acceleration to the finish. The second line consists of a single wide turn (R2 = 10m). Both turns are circular and sweep out one quarter of a circle. In either line, the car will undergo a constant magnitude of acceleration a = 15m/s'. Assume the car maintains constant speed as it makes either turn (of course, this is not true during the straight stretch). Line 2 Line 1 R1 R z a Determine the time to complete the turn of the first line fir. b Determine the time to complete the straight section of the first line tis C ) Determine the time to complete the turn of the second line ter d) Which line is faster? Use your physical understanding to justify your mathematical

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