This position time graph describes an object's motion. Use it to determine the overall displacement (in m) of the object after the 20.0 seconds of motion. Enter the appropriate + or - sign.

College Physics
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Author:Raymond A. Serway, Chris Vuille
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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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This position time graph describes an object's motion. Use it to determine the overall displacement (in m) of the object after the 20.0 seconds of motion. Enter the appropriate + or - sign.

### Transcription of Displacement-Time Graph

**Introduction:**
This graph is a visual representation of an object's motion over a period of time, depicting the relationship between position and time to determine displacement.

**Graph Description:**

- **Axes:**
  - The x-axis represents the position in meters (m), ranging from 0 to 20.
  - The y-axis represents time in seconds (s), ranging from 0 to 20.

- **Plot Details:**
  - The graph features a series of straight lines connecting various points, demonstrating changes in position over time.
  - Starting from a position of 20 meters at 0 seconds, the line descends to a position of 0 meters by 5 seconds, indicating motion in the negative direction.
  - From 5 to 10 seconds, the position rises again to 15 meters, suggesting a return to a positive direction.
  - Between 10 to 15 seconds, the position decreases once more to 5 meters, before finally ascending to 10 meters at 20 seconds.

**Interpretation:**
The graph provides insights into how the object's speed and direction change over time. The varying slopes represent different velocities, with steeper slopes indicating faster speeds and changes in slope signaling changes in direction.

**Conclusion:**
This displacement-time graph serves as an effective tool for analyzing motion, providing a clear visualization of how position changes with time.
Transcribed Image Text:### Transcription of Displacement-Time Graph **Introduction:** This graph is a visual representation of an object's motion over a period of time, depicting the relationship between position and time to determine displacement. **Graph Description:** - **Axes:** - The x-axis represents the position in meters (m), ranging from 0 to 20. - The y-axis represents time in seconds (s), ranging from 0 to 20. - **Plot Details:** - The graph features a series of straight lines connecting various points, demonstrating changes in position over time. - Starting from a position of 20 meters at 0 seconds, the line descends to a position of 0 meters by 5 seconds, indicating motion in the negative direction. - From 5 to 10 seconds, the position rises again to 15 meters, suggesting a return to a positive direction. - Between 10 to 15 seconds, the position decreases once more to 5 meters, before finally ascending to 10 meters at 20 seconds. **Interpretation:** The graph provides insights into how the object's speed and direction change over time. The varying slopes represent different velocities, with steeper slopes indicating faster speeds and changes in slope signaling changes in direction. **Conclusion:** This displacement-time graph serves as an effective tool for analyzing motion, providing a clear visualization of how position changes with time.
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