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 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.)
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 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.)
This graph displays velocity (in m/s) on the y-axis and time (in seconds) on the x-axis. Key observations:
- Initially, (0-3s), the object is at a constant velocity of -20 m/s.
- After 3 seconds, the velocity starts increasing linearly, reaching a value of 0 m/s at around 7 seconds.
- From 7 to 10 seconds, the velocity continues to increase, reaching approximately 8 m/s.
The changes in slope signify changes in acceleration.
---
#### Graph 2: Position-Time Graph
In this graph, time (in seconds) is on the y-axis, and velocity (in m/s) is on the x-axis. Key features include:
- From 0 to 3 seconds, the object maintains a constant position, i.e., does not move.
- Between 3 and 10 seconds, the position changes consistently, with an increasing slope, indicating uniform acceleration.
The graph confirms uniform acceleration, as shown by the linear increase in velocity over time.
---
#### Graph 3: Velocity-Time Graph
This graph is similar to Graph 1 with almost identical patterns:
- From 0 to 3 seconds, a constant velocity of -20 m/s.
- A linear increase in velocity from -20 m/s at 3 seconds to 0 m/s at around 7 seconds.
- Continued linear increase from 0 m/s to 8 m/s between 7 to 10 seconds.
A consistent pattern of acceleration is seen here as well.
---
#### Graph 4: Velocity-Time Graph
This graph again shows velocity (in m/s) against time (in seconds):
- Constant velocity at -20 m/s from 0 to 3 seconds.
- Gradual linear increase in velocity, reaching 0 m/s at around 7 seconds.
- Further increase in velocity to 8 m/s from 7 to 10 seconds.
The graph reiterates a uniform acceleration scenario.
---
### Conclusion
All graphs consistently indicate a change](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Febc475b6-aa7a-4086-91fc-be1938297853%2Fa4463c0d-137c-430a-ad81-2e64118e044b%2Fb9a6hrd_processed.png&w=3840&q=75)
Transcribed Image Text:### Understanding Velocity-Time and Position-Time Graphs
#### Introduction
Graphs play a crucial role in understanding the motion of objects. This section will elaborate on the key graphs used in physics for depicting velocity and position over time.
---
#### Graph 1: Velocity-Time Graph
This graph displays velocity (in m/s) on the y-axis and time (in seconds) on the x-axis. Key observations:
- Initially, (0-3s), the object is at a constant velocity of -20 m/s.
- After 3 seconds, the velocity starts increasing linearly, reaching a value of 0 m/s at around 7 seconds.
- From 7 to 10 seconds, the velocity continues to increase, reaching approximately 8 m/s.
The changes in slope signify changes in acceleration.
---
#### Graph 2: Position-Time Graph
In this graph, time (in seconds) is on the y-axis, and velocity (in m/s) is on the x-axis. Key features include:
- From 0 to 3 seconds, the object maintains a constant position, i.e., does not move.
- Between 3 and 10 seconds, the position changes consistently, with an increasing slope, indicating uniform acceleration.
The graph confirms uniform acceleration, as shown by the linear increase in velocity over time.
---
#### Graph 3: Velocity-Time Graph
This graph is similar to Graph 1 with almost identical patterns:
- From 0 to 3 seconds, a constant velocity of -20 m/s.
- A linear increase in velocity from -20 m/s at 3 seconds to 0 m/s at around 7 seconds.
- Continued linear increase from 0 m/s to 8 m/s between 7 to 10 seconds.
A consistent pattern of acceleration is seen here as well.
---
#### Graph 4: Velocity-Time Graph
This graph again shows velocity (in m/s) against time (in seconds):
- Constant velocity at -20 m/s from 0 to 3 seconds.
- Gradual linear increase in velocity, reaching 0 m/s at around 7 seconds.
- Further increase in velocity to 8 m/s from 7 to 10 seconds.
The graph reiterates a uniform acceleration scenario.
---
### Conclusion
All graphs consistently indicate a change
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