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Commuter trains travel between stations spaced 1.0 mi apart. A train arrives every 5 min, and trains can attain a maximum speed of 80 mph. When the train stops it must wait 1.0 min to allow for passenger movement. The uniform acceleration of the train is 5.5 ft/sec^2. Deceleration is 4.4 ft/sec^2. What is the top speed of the train?

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