**Acceleration Analysis of a Train****Problem Overview:**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.**Data Table:**| \( t \) (seconds) | \( 0 \) | \( 1 \) | \( 2 \) | \( 3 \) | \( 4 \) ||-------------------|---------|---------|---------|---------|---------|| \( a(t) \) (m/s\(^2\)) | \( 3 \) | \( 2 \) | \( 1 \) | \( -1 \) | \( -2 \) |**Questions:**1. **The table indicates that \( a(1) = 2 \) m/s\(^2\). What does that tell you about the velocity?**2. **The table indicates that \( a(3) = -1 \) 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.****Explanation of Graphs/Diagrams:**- **Data Table Explanation:** - The table presents the acceleration \( a(t) \) of the train at different time intervals \( t \). - Positive acceleration values indicate the train is speeding up, while negative values indicate the train is slowing down.**Key Points for Analysis:**1. **Understanding Acceleration and Velocity:** - Acceleration indicates the rate of change of velocity. - If acceleration is positive, velocity increases. - If acceleration is negative, velocity decreases.2. **Impact of \( a(1) = 2 \) m/s\(^2\):** - At \( t = 1 \) second, acceleration is \( 2 \) m/s\(^2\), which means the velocity is increasing at this point.3. **Impact of \( a(3) = -1 \) m/s\(^2\):** - At \( t = 3 \) seconds, acceleration is \( -1 \) m/s\(^2\), indicating that

Acceleration is defined as rate of change of velocity per unit time. It means if there is an…

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. 4 2 3 0 1 t (seconds) -2 2 1 -1 3 a(t) (m/s2) 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. |

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. 4 2 3 0 1 t (seconds) -2 2 1 -1 3 a(t) (m/s2) 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.

Chapter2: One Dimensional Motion

Section: Chapter Questions

Problem 54PQ: Case Study Crall and Whipple attached a fan to a cart placed on a level track and then released the...

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