2.62 Collision. The engineer of a passenger train traveling at25.0 m/s sights a freight train whose caboose is 200 m ahead on thesame track (Fig. P2.62). The freight train is traveling at 15.0 m/s in thesame direction as the passenger train. The engineer of the passengertrain immediately applies the brakes, causing a constant accelerationof 0.100 m/s² in a direction opposite to the train's velocity, while thefreight train continues with constant speed. Take x = 0 at the locationof the front of the passenger train when the engineer applies the brakes.(a) Will the cows nearby witness a collision? (b) If so, where will it takeplace? (c) On a single graph, sketch the positions of the front of the pas-senger train and the back of the freight train.

Step 1: Step 2: Step 3: Step 4:

Answered: 2.62 Collision. The engineer of a…

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

Chapter3: Motion In Two Dimensions

Section: Chapter Questions

Problem 42P: A landscape architect is planning an artificial waterfall in a city park. Water flowing at 1.70 m/s...

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Similar questions

Two sprinters start a race along a straight track at the same time and cross the finish line at the same time. a. Are their average velocities necessarily equal? Explain. b. Are their instantaneous velocities necessarily always equal? Explain. c. Are their final velocities necessarily equal? Explain.
Unreasonable results At the end of a race, a runner decelerates from a velocity of 9.00 m/s at a rate of 2.00m/s2 . (a) How far does she travel in the next 5.00 s? (b) What is her final velocity? (c) Evaluate the result. Does it make sense?
An electronic line judge camera captures the impact of a 57.0-g tennis ball traveling at 33.0 m/s with the side line of a tennis court (Fig. P2.37). The ball rebounds with a speed of 20.0 m/s and is seen to be in contact with the ground for 4.00 ms. What is the magnitude of the average acceleration of the ball during the time it is in contact with the ground? Assume one-dimensional motion.
The speed limit on some interstate highways is roughly 100 km/h. (a) What is this in meters per second? (b) How many miles per hour is this?
A car is traveling at a speed of 33 m/s. (a) What is its speed in kilometers per hour? (b) Is it exceeding the 90 km/h speed limit?
A police car traveling at 95.0 km/h is traveling west, chasing a motorist traveling at 80.0 km/h. (a) What is the velocity of the motorist relative to the police car? (b) What is the velocity of the police cat relative to the motorist? (c) If they are originally 250 m apart, in what time interval will the police car over take the motorist?
A race car entering the curved part of the track at the Daytona 500 drops its speed from 85.0 m/s to 80.0 m/ s in 2.0 s. If the radius of the curved part of the track is 316.0 m, calculate the total acceleration of the race car at the beginning and ending of reduction of speed.
A distance with two significant figures divided by a time interval with three significant figures equals an average speed. How many significant figures does the average speed have?
(a) In what direction would the ship in Exercise 3.57 have to travel in order to have a velocity straight north relative to the Earth, assuming its speed relative to the water remains 7.00 m/s? (b) What would its speed be relative to the Earth?
After a ball rolls off the edge of a horizontal table at time t = 0, its velocity as a function of time is given by v=1.2i9.8tj where v is in meters per second and t is in seconds. The balls displacement away from the edge of the table, during the time interval of 0.380 s for which the ball is in flight, is given by r=00.3803vdt To perform the integral, you can use the calculus theorem [A+Bf(x)]dx=Adx+Bf(x)dx You can think of the units and unit vectors as constants, represented by A and B. Perform the integration to calculate the displacement of the ball from the edge of the table at 0.380 s.
A swan on a lake gets airborne by flapping its wings and running on top of the water. (a) If the swan must reach a velocity of 6.00 m/s to take off and it accelerates from rest at an average rate of 0.35m/s2 , how far will it travel before becoming airborne? (b) How long does this take?
An unwary football player collides with a padded goalpost while running at a velocity of 7.50 m/s and comes to a full stop after compressing the padding and his body 0.350 m. (a) What is his deceleration? (b) How long does the collision last?

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