A train is traveling south at 58.4 m/s when the brakes are applied. It slows down with constant acceleration to a speed of 6.00 m/s in a time of 9.00 s.Which of the following is the correct graph of vx vs. t for a 12-s interval (starting 2 s before the brakes are applied and ending 1 s after the brakes are released) if the train is traveling south at 24.0 m/s when the brakes are applied and slows down with constant acceleration to a speed of 6.00 m/s in a time of 9.00 s? (Take north as the +x-direction.)a. options in pictureb. What is the acceleration of the train during the 9.00-s interval? If the acceleration is toward north, enter a positive value. If the acceleration is toward south, enter a negative value. answer in m/s^2 Below are descriptions and detailed explanations of velocity vs. time graphs as seen in the provided images.### Graph 1: Velocity vs. Time- **X-Axis**: Time (seconds, s) ranging from 0 to 10.- **Y-Axis**: Velocity (meters per second, m/s) ranging from -25 to 0.- **Description**: The graph depicts a linear increase in velocity over time, starting from -20 m/s at t=0 seconds to about -5 m/s at t=10 seconds. This indicates a constant acceleration.### Graph 2: Velocity vs. Time- **X-Axis**: Velocity (meters per second, m/s) ranging from -25 to 10.- **Y-Axis**: Time (seconds, s) ranging from 0 to 10.- **Description**: The graph shows an almost identically linear increase in velocity over time. Here, the axes are swapped compared to Graph 1 but represent the same relationship. Again, it demonstrates a constant acceleration from -20 m/s to roughly -5 m/s between 0 to 10 seconds.### Graph 3: Velocity vs. Time- **X-Axis**: Time (seconds, s) ranging from 0 to 10.- **Y-Axis**: Velocity (meters per second, m/s) ranging from -25 to 0.- **Description**: This graph is similar to Graph 1, indicating a linear relationship where velocity increases from -20 m/s to nearly -5 m/s over the 10-second interval, implying constant acceleration.### Graph 4: Velocity vs. Time- **X-Axis**: Time (seconds, s) ranging from 0 to 10.- **Y-Axis**: Velocity (meters per second, m/s) ranging from -25 to 0.- **Description**: This graph also mirrors the characteristics of Graph 1 and Graph 3, showing a continuous linear increase in velocity from about -20 m/s to approximately -5 m/s in a span of 10 seconds, highlighting a uniform acceleration.### Key Takeaways:1. All four graphs depict a nearly identical relationship between velocity and time, showcasing a uniform acceleration.2. The graphs confirm a consistent increase in velocity from -20 m/s to about -5 m/s over a 10-second time interval.3. The second graph

a) given that acceleration so, we can apply newtons equation of motion . v =u+at…

Answered: A train is traveling south at 58.4 m/s…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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A train is traveling south at 58.4 m/s when the brakes are applied. It slows down with constant acceleration to a speed of 6.00 m/s in a time of 9.00 s.

Which of the following is the correct graph of v_x vs. t for a 12-s interval (starting 2 s before the brakes are applied and ending 1 s after the brakes are released) if the train is traveling south at 24.0 m/s when the brakes are applied and slows down with constant acceleration to a speed of 6.00 m/s in a time of 9.00 s? (Take north as the +x-direction.)

a. options in picture

b. What is the acceleration of the train during the 9.00-s interval? If the acceleration is toward north, enter a positive value. If the acceleration is toward south, enter a negative value. answer in m/s^2

Below are descriptions and detailed explanations of velocity vs. time graphs as seen in the provided images.

### Graph 1: Velocity vs. Time
- **X-Axis**: Time (seconds, s) ranging from 0 to 10.
- **Y-Axis**: Velocity (meters per second, m/s) ranging from -25 to 0.
- **Description**: The graph depicts a linear increase in velocity over time, starting from -20 m/s at t=0 seconds to about -5 m/s at t=10 seconds. This indicates a constant acceleration.

### Graph 2: Velocity vs. Time
- **X-Axis**: Velocity (meters per second, m/s) ranging from -25 to 10.
- **Y-Axis**: Time (seconds, s) ranging from 0 to 10.
- **Description**: The graph shows an almost identically linear increase in velocity over time. Here, the axes are swapped compared to Graph 1 but represent the same relationship. Again, it demonstrates a constant acceleration from -20 m/s to roughly -5 m/s between 0 to 10 seconds.

### Graph 3: Velocity vs. Time
- **X-Axis**: Time (seconds, s) ranging from 0 to 10.
- **Y-Axis**: Velocity (meters per second, m/s) ranging from -25 to 0.
- **Description**: This graph is similar to Graph 1, indicating a linear relationship where velocity increases from -20 m/s to nearly -5 m/s over the 10-second interval, implying constant acceleration.

### Graph 4: Velocity vs. Time
- **X-Axis**: Time (seconds, s) ranging from 0 to 10.
- **Y-Axis**: Velocity (meters per second, m/s) ranging from -25 to 0.
- **Description**: This graph also mirrors the characteristics of Graph 1 and Graph 3, showing a continuous linear increase in velocity from about -20 m/s to approximately -5 m/s in a span of 10 seconds, highlighting a uniform acceleration.

### Key Takeaways:
1. All four graphs depict a nearly identical relationship between velocity and time, showcasing a uniform acceleration.
2. The graphs confirm a consistent increase in velocity from -20 m/s to about -5 m/s over a 10-second time interval.
3. The second graph

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