3 An accelerograph records the acceleration of a train. Assume the train was moving in a straight line and the velocity of the train at t = 0 was 0 m/s. Some of the data values for the acceleration of the train are shown below. Answer the questions using this information. t (seconds) 0 1 2 3 4 a(t) (m/s2) 3 2 1 -1 -2 1) The table indicates that a(1)=2 m/s2. What does that tell you about the velocity? I 2) The table indicates that a(3) = -1 m/s2. What does this tell you about the velocity? 3) When is the velocity of the train going to be the greatest? Defend your conclusion by clearly explaining your reasoning or approach to solving this problem. |

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter4: Two-and-three Dimensional Motion
Section: Chapter Questions
Problem 46PQ
icon
Related questions
Question
100%
**Understanding Train Acceleration**

An accelerograph records the acceleration of a train. Assume the train was moving in a straight line and the velocity of the train at \( t = 0 \) was \( 0 \, \text{m/s} \). Some of the data values for the acceleration of the train are shown below.

**Table of Acceleration Values:**

| Time (\( t \)) in seconds | 0 | 1 | 2 | 3 | 4 |
|--------------------------|---|---|---|---|---|
| Acceleration (\( a(t) \)) in \( \text{m/s}^2 \) | 3 | 2 | 1 | -1 | -2 |

**Answer the questions using this information:**

1. The table indicates that \( a(1) = 2 \, \text{m/s}^2 \). What does this tell you about the velocity?

2. The table indicates that \( a(3) = -1 \, \text{m/s}^2 \). What does this tell you about the velocity?

3. When is the velocity of the train going to be the greatest? Defend your conclusion by clearly explaining your reasoning or approach to solving this problem.
Transcribed Image Text:**Understanding Train Acceleration** An accelerograph records the acceleration of a train. Assume the train was moving in a straight line and the velocity of the train at \( t = 0 \) was \( 0 \, \text{m/s} \). Some of the data values for the acceleration of the train are shown below. **Table of Acceleration Values:** | Time (\( t \)) in seconds | 0 | 1 | 2 | 3 | 4 | |--------------------------|---|---|---|---|---| | Acceleration (\( a(t) \)) in \( \text{m/s}^2 \) | 3 | 2 | 1 | -1 | -2 | **Answer the questions using this information:** 1. The table indicates that \( a(1) = 2 \, \text{m/s}^2 \). What does this tell you about the velocity? 2. The table indicates that \( a(3) = -1 \, \text{m/s}^2 \). What does this tell you about the velocity? 3. When is the velocity of the train going to be the greatest? Defend your conclusion by clearly explaining your reasoning or approach to solving this problem.
Expert Solution
steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Distance and Speed
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Physics for Scientists and Engineers: Foundations…
Physics for Scientists and Engineers: Foundations…
Physics
ISBN:
9781133939146
Author:
Katz, Debora M.
Publisher:
Cengage Learning
Principles of Physics: A Calculus-Based Text
Principles of Physics: A Calculus-Based Text
Physics
ISBN:
9781133104261
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Physics for Scientists and Engineers with Modern …
Physics for Scientists and Engineers with Modern …
Physics
ISBN:
9781337553292
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Glencoe Physics: Principles and Problems, Student…
Glencoe Physics: Principles and Problems, Student…
Physics
ISBN:
9780078807213
Author:
Paul W. Zitzewitz
Publisher:
Glencoe/McGraw-Hill