Answer to Question #17615 in Calculus for James Stacy
(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 is the maximum distance it can travel under these conditions?
(c) Find the minimum time that the train takes to travel between two consecutive stations that are 37.5 miles apart.
(d) The trip from one station to the next takes at minimum 37.5 minutes. How far apart are the stations?
time to reach: v=at=>v/a=t
S2=Vmaxt, t= 15 min=1/4 h
b) t0=15 min
T2=S2/Vmax=30 min 11 s
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