A red train traveling at 72 miles/hour (mph) and a green train traveling at 100 mph are headed toward one another along a straight, level track. When they are 2500 feet apart, each engineer sees the other's train and applies the brakes. The brakes decelerates each train at the rate of 2.0 meters per second squared. Is their a collision? If so, what is the speed of each train at impact? If not, what is the separation between the trains when they stop? Give the given and solution:

A red train traveling at 72 miles/hour (mph) and a green train traveling at 100 mph are headed toward one another along a straight, level track. When they are 2500 feet apart, each engineer sees the other's train and applies the brakes. The brakes decelerates each train at the rate of 2.0 meters per second squared. Is their a collision? If so, what is the speed of each train at impact? If not, what is the separation between the trains when they stop? Give the given and solution:

Name: A red train traveling at 72 miles/hour (mph) and a green train travel
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Description: A red train traveling at 72 miles/hour (mph) and a green train traveling at 100 mph are headed toward one another along a straight, level track. When they are 2500 feet apart, each engineer sees the other's train and applies the brakes. The brakes d

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter1: Introduction And Vectors

Section: Chapter Questions

Problem 69P: A pirate has buried his treasure on an island with five trees located at the points (30.0 m, 20.0...

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A pirate has buried his treasure on an island with five trees located at the points (30.0 m, 20.0 m), (60.0 m, 80.0 m), (10.0 m, 10.0 m), (40.0 m, 30.0 m), and (70.0 m, 60.0 m), all measured relative to some origin, as shown in Figure P1.69. His ships log instructs you to start at tree A and move toward tree B, but to cover only one-half the distance between A and B. Then move toward tree C, covering one-third the distance between your current location and C. Next move toward tree D, covering one-fourth the distance between where you are and D. Finally move toward tree E, covering one-fifth the distance between you and E, stop, and dig. (a) Assume you have correctly determined the order in which the pirate labeled the trees as A, B, C, D, and E as shown in the figure. What are the coordinates of the point where his treasure is buried? (b) What If? What if you do not really know the way the pirate labeled the trees? What would happen to the answer if you rearranged the order of the trees, for instance, to B (30 m, 20 m), A (60 m, 80 m), E (10 m, 10 m), C (40 m, 30 m), and D (70 m, 60 m)? State reasoning to show that the answer does not depend on the order in which the trees are labeled. Figure 1.69
A bomb is designed to explode 4.00 s after it is armed. The bomb is launched from earth and accelerated to an unknown final speed. After reaching its final speed, however, the bomb is observed by people on earth to explode 6.5 s after it is armed. What is the final speed of the bomb just before it explodes? a) 0.933c b) 0.882c c) 0.981c d) 0.788c e) 0.539c
You encounter a moving walkway that is 81 m long and has a speed of 2.1 m/s relative to the ground. How long would it take you to cover the 81 m length of the walkway if, once you get on the walkway, you immediately turn around and start walking in the opposite direction with a speed of 1.6 m/s relative to the walkway? Express your answer using one significant figure.
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Dr. John Paul Stapp was a U.S. Air Force officer who studied the effects of extreme acceleration on the human body. On December 10, 1954, Stapp rode a rocket sled, accelerating from rest to a top speed of 282 m/s (1015 km/h) in 5.00 s and was brought jarringly back to rest in only 1.40 s. Calculate his (a) acceleration in his direction of motion and (b) acceleration opposite to his direction of motion. Express each in multiples of g (9.80 m/s2) by taking its ratio to the acceleration of gravity.
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A police officer is driving southbound on the highway at a speed of 24 meters per second. He sees a yellow car driving northbound. From inside the moving police car, the officer measures the yellow car’s speed as 59 meters per second. To an observer on the side of the road, what is the yellow car’s velocity? 59 m/s 83 m/s 24 m/s 35 m/s
The Moon is about 3.8 ✕ 108 m from Earth. Traveling at the speed of light, 3.0 ✕ 108 m/s, how long does it take a laser beam to go from Earth to the Moon and back again (in s)?
Two cars are initially (2.50+C) km apart on a straight road. If the cars are moving toward each other, car 1 with a speed of (5.40+A) m/s and car 2 with a speed of (7.20+B) m/s, how many seconds will it take before the cars meet? Round your answer to three significant figures. A=8 B=7 C=15