hello, i have solved this using physics but am unsure how to go about it doing calculus, as in solving using antiderivatives can someone plz layout the step by step process.

A high-speed bullet train accelerates and decelerates at the rate of 10ft/s2. Its maximum cruising speed is105mi/h

. (Round your answers to three decimal places.)

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?

mi

(c) Find the minimum time that the train takes to travel between two consecutive stations that are 52.5 miles apart.

min

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