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# Solved: Freight trains can produce only relatively small ISBN: 9781938168000 42

## Solution for problem 29PE Chapter 2

College Physics | 1st Edition

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Problem 29PE

Freight trains can produce only relatively small accelerations and decelerations. (a) What is the final velocity of a freight train that accelerates at a rate of 0.0500 m/s2 for 8.00 min, starting with an initial velocity of 4.00 m/s? (b) If the train can slow down at a rate of 0.550 m/s2 , how long will it take to come to a stop from this velocity? (c) How far will it travel in each case?

Step-by-Step Solution:

Part (a)

Step 1 of 9:

The acceleration of a freight train is provided and since these kinds of trains are used for transporting goods, they have very fewer accelerations and decelerations. We are going to find the final velocity of the train if the train is starting with a particular initial velocity.

Acceleration produced Time taken to reach the final velocity The initial velocity Step 2 of 9:

To find the final velocity of the train, from equation of motion Inserting all numerical quantities to get final velocity v  The final velocity of the train is 28.00 ms-1

Part (b)

Step 3 of 9:

The train is moving with the velocity 28.00 ms-1 and the brake is applied on the train. Now the train starts decelerating and stops eventually. The deceleration rate is given by 0.550 m/s2. Deceleration is nothing but the negative acceleration. We are going to find the time taken by the train to stop completely.  the Therefore

The acceleration produced The final velocity of the train The initial velocity of the train Step 4 of 9:

From equation (1) Substituting the values   The time taken by the train to stop completely is 50.91 s

Part (c)

Step 5 of 9:

Since the train moving with certain velocities, we can able to calculate the distance traveled by train in each case. The initial and final velocities are known with time duration. Taking average velocity of the journey will be useful in this calculation

In the first case:

Time taken to reach the final velocity The initial velocity The final velocity Step 6 of 9

Step 7 of 9

##### ISBN: 9781938168000

This textbook survival guide was created for the textbook: College Physics , edition: 1. Since the solution to 29PE from 2 chapter was answered, more than 395 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 29PE from chapter: 2 was answered by , our top Physics solution expert on 07/07/17, 04:39PM. College Physics was written by and is associated to the ISBN: 9781938168000. The answer to “Freight trains can produce only relatively small accelerations and decelerations. (a) What is the final velocity of a freight train that accelerates at a rate of 0.0500 m/s2 for 8.00 min, starting with an initial velocity of 4.00 m/s? (b) If the train can slow down at a rate of 0.550 m/s2 , how long will it take to come to a stop from this velocity? (c) How far will it travel in each case?” is broken down into a number of easy to follow steps, and 75 words. This full solution covers the following key subjects: velocity, rate, train, freight, produce. This expansive textbook survival guide covers 34 chapters, and 3125 solutions.

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