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March 28, 2017

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On a banked race track, the smallest circular path on which cars can move has a radius of 119 m, while the largest has a radius 155 m, as the drawing illustrates. The height of the outer wall is 18 m.

(a) Find the smallest speed at which cars can move on this track without relying on friction.
m/s

(b) Find the largest speed at which cars can move on this track without relying on friction.
m/s

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