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

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

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

Relative Velocity

It is a measurement of an object with regards to the other object which is moving or stable or stationary. For example, if we are traveling in a bus and the bus is moving at speed of 50km/hr, then our speed is according to the nearby passenger on the bus is zero. According to them, we are not moving. But if one person standing on the ground or road observes us from outside of the bus, according to him we are moving at a speed of 50km/hr and the bus is also moving at a speed of 50km/hr. Now, the motion is recognized by the observer, it depends on a frame of reference or observer. This is motion called relative motion.

Question

Ans. 1.168 ft/s^2, 99.8 mi/h

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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