A particular bullet train accelerates and decelerates at the rate of ( 1 0 mathrm { ft } / mathrm { s
A particular bullet train accelerates and decelerates at the rate of mathrmftmathrms Its maximum cruising speed is mathrmmimathrmhRound your answers to three decimal places.
a What is the maximum distance in mi the train can travel if it accelerates from rest until it reaches its cruising speed and then runs at that speed for minutes? mi
b Suppose that the train starts from rest and must come to a complete stop in minutes. What is the maximum distance in mi it can travel under these conditions? mi
c Find the minimum time in min that the train takes to travel between two consecutive stations that are miles apart. min
d The trip from one station to the next takes at minimum minutes. How far in mi apart are the stations?