Question

A high-speed bullet train accelerates and decelerates at the rate of 10 ft/s2.

A high-speed bullet train accelerates and decelerates at the rate of 10 ft/s2. Its maximum crusing speed is 120 mi/h.


(a) 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? 

(b) Suppose that the train starts from rest and must come to a complete stop in 15 minutes. What the maximum d istance it can travel under these conditions? 

(c) Find the minimum time that the train takes travel between two consecutive stations that are 60 miles apart. 

(d) The trip from one station to the next takes minimum 37.5 minutes. How far apart are the stations?  


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