A train which is traveling at 80 mi/h applies its brakes as it reaches point A and slows down with a constant deceleration. Its decreased velocity is observed to be 60 mi/h as it passes a point 1/2 mi beyond A. A car moving at 50 mi/h passes point B at the same instant that the train reaches point A. In an unwise effort to beat the train to the crossing, the driver "steps on the gas." Calculate the constant acceleration "a" that the car must have in order to beat the train to the crossing by 4 sec and find the velocity "v" of the car as it reaches the crossing. Train 1 mi 80 mi/hr Car 50 mi/hr 1.3 mi

Traffic and Highway Engineering
5th Edition
ISBN:9781305156241
Author:Garber, Nicholas J.
Publisher:Garber, Nicholas J.
Chapter3: Characteristics Of The Driver, The Pedestrian, The Bicyclist, The Vehicle, and The Road
Section: Chapter Questions
Problem 10P
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A train which is traveling at 80 mi/h applies its brakes as it reaches point A and slows down with a constant
deceleration. Its decreased velocity is observed to be 60 mi/h as it passes a point 1/2 mi beyond A. A car
moving at 50 mi/h passes point B at the same instant that the train reaches point A. In an unwise effort to
beat the train to the crossing, the driver "steps on the gas." Calculate the constant acceleration "a" that the
car must have in order to beat the train to the crossing by 4 sec and find the velocity "v" of the car as it
reaches the crossing.
Train
1 mi
80 mi/hr
Car
50 mi/hr
1.3 mi
Transcribed Image Text:A train which is traveling at 80 mi/h applies its brakes as it reaches point A and slows down with a constant deceleration. Its decreased velocity is observed to be 60 mi/h as it passes a point 1/2 mi beyond A. A car moving at 50 mi/h passes point B at the same instant that the train reaches point A. In an unwise effort to beat the train to the crossing, the driver "steps on the gas." Calculate the constant acceleration "a" that the car must have in order to beat the train to the crossing by 4 sec and find the velocity "v" of the car as it reaches the crossing. Train 1 mi 80 mi/hr Car 50 mi/hr 1.3 mi
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