Two trains travel on parallel tracks tiward one another . Train A passes the sta
ID: 2235082 • Letter: T
Question
Two trains travel on parallel tracks tiward one another . Train A passes the station traveling east with a constant speef of 10.0 m/s. Train B starts out 200 m from station traveling west at same time train A passes the station. Train B has a constant acceleration of 6.00 m/s^2 (a) how much time elapses before the trains pass each other +b) calculate the ratio of the distance train A has traveled to the distance train B has traveled when trains pass each other (c) determine the velocity (in unit vector format) of each train when they pass each other?Explanation / Answer
A) for the trains to pass each other
distance travelled by A+distance travelled by B=200
after time t,
distance travelled by A= 10*t
distance travelled by B= 1/2 *6*t^2
or, 10t+3t^2=200
or, t=6.67secs
b) ratio of distance travelled by A and B = 10:3t=10: 20=1:2
c) velocity of train A= 10m/s(along east)
velocity of train B = -a*t=-6*6.67=-40m/s(along west)
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