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Part A

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Velodromes are indoor facilities for bicycle racing (picture by Keith Finlay, courtesy of Wikimedia Commons). Olympic velodromes are usually ovals 250 m in circumference with turns of radius 25 m. The peak banking in the turns is about 42DEG. Assuming a racer goes through the turn at the optimal speed so that no friction is required to complete the turn, how fast is the racer moving?