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View Full DocumentA Tale of Two Trains
Problem:
Just as a passenger train that you boarded a few moments before is beginning to pull out of the station, it is
passed by a freight train traveling at 45 mi/h along a parallel track in the same direction that your train is headed.
If your train undergoes constant acceleration, how far will you have traveled before your train passes the freight
train, assuming that the freight train's speed remains constant? All that you know about your train's acceleration is
that it takes 3.5 miles for the train to reach a speed of 60 mi/h, starting from rest.
Solution:
The blue train (upper) is our train, the green (lower) is the freight train.
The diagram is the location of each train
at t=0, t=
!
t
f
and t=t
f
.
Positions are approximate, and velocities are noted via the arrows.
We are given the velocity of the freight train (Train 2) and that our train (Train 1) travels from rest with constant
acceleration.
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 Spring '14
 Acceleration, Velocity

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