A commuter train has stations spaced 1 mi apart. The top speed of the train is 80 mph. The train accelerates at 5.5ft/sec2 and decelerates at 4.5 ft/sec2. It dwells at the platform for 20 sec to pick up passengers. (Parts a and b are given herein to give you some hints of solving part c)
a.Estimate the time it takes for the train to reach the top speed, assuming it starts from 0 mph. What is the distance it travels during the time period? (Hint: use Eqs. 5-7 through 5-9 in the textbook, remember you have to covert mph to ft/sec first for you to use those equations).
b.Estimate the time it takes for the train to brake to stop from the top speed. What is the distance it travels during the time period? (Hint: use Eqs. 5-7 through 5-9 in the textbook, remember you have to covert mph to ft/sec first for you to use those equations).
c.What are the running speed and overall speed of the train? (Hint: you need to know the difference between running speed and overall speed. In other word, you need to know the different between running time and total time).