A train begins at the origin and moves at constant speed v1=11.7 m/s toward another train which is initially at rest at a distance d=152 m from the first train. If the second train has an acceleration of magnitude a2=0.95 m/s2 toward the first train, how far does the first train move before the trains collide? (Hint : use quadratic equation and choose positive time)
Given:
Speed of the first train,
Let be the distance covered by the first train before colliding with the second train
Let be the distance covered by the second train before colliding with the first train
Initial gap between the trains,
So
-------------(1)
Initial speed of the second train,
Acceleration of the second train,
Travel time of both the trains is the same. is the travel time of both the trains.
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Consider the first train
Speed = Distance/Time
-----------(2)
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Consider the second train
Use formula
--------(3)
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Put equation (2) and equation (3) in equation (1)
Solve the quadratic equation using a calculator
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Put value of in (2)
ANSWER:
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A train begins at the origin and moves at constant speed v1=11.7 m/s toward another train...
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