On a banked race track the smallest circular path on which, Ask an Expert

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On a banked race track, the smallest circular path on which cars can move has a radius of 112 m, while the largest has a radius of 165 m. The height of the outer wall is 18 m. Find (a) the smallest and (b) the largest speed at which cars can move on this track without relying on friction. (c) If race car one is travelling at 70 mph and race car two is travelling at 85 mph, how fast does race car 1 have to move on the track to catch up to race car 2?

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