Question
A high-speed bullet train accelerates and decelerates at the rate of ft/s2. Its maximum cruising speed is mi/h. (Round your answers to three decimal places.)
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What is the maximum distance the train can travel if it accelerates from rest until it reaches its cruising speed and then runs at that speed for 15 minutes?
mi
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Suppose that the train starts from rest and must come to a complete stop in 15 minutes. What is the maximum distance it can travel under these conditions?
mi
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Find the minimum time that the train takes to travel between two consecutive stations that are miles apart.
min
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The trip from one station to the next takes at minimum 37.5 minutes. How far apart are the stations?
mi