114 pointsI Notes O Ask Your Teacher Two trains, a freight train and a commuter

Question

114 pointsI Notes O Ask Your Teacher Two trains, a freight train and a commuter train, are traveling in the same direction on parallel tracks. At t-0 s, the front of the freight train is 72.0 m ahead of the front of the commuter train. Be consistent, and measure everything from the front of each train. The graph above shows the veícties of the two trains from t a 0 to t·60 s Note that both trains have constant acceleration unta -22.05, and then they both travel at constant velocity. Take v 4.00 mys. velocity 4v 3v 2v commuter train freight train t (s) 60 (a) What is the commuter train's acceleration during the first 22.0 s of the motion? 54545 m/s (b) During this 60-second period, what is the maximum distance the freight train is ahead of the commuter train? 251.5 (c) At what time does the commuter train pass the freight train? (We're actually looking for when they have the same posiion.) (d) At the end of the 60-second period, how far is the commuter train ahead of the freight train? 152

Explanation / Answer

B] Maximum distance = 72m + area between the curves for first 11 s

= 72 + 0.5*(2.5*4 +2*4)*11 - 0.5*(2.5*4 + 4)*11

= 94 m answer

C] Required time = t + 72/[4v -3v] = 22 + 72/4

= 40 s answer

d] distance = [4v-3v]*(60 -40) = 4 * 20

= 80 m answer

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