A particle moves along the x-axis. The velocity of this particle as a function of time is shown in the figure. Assume the particle is located at x = 0 m at time t = 0 s. What is the acceleration of the particle at time t = 22.0 s? What is the position of the particle along the x-axis at time t = 22.0 s? What is the net displacement of the particle between time t = 4.0 s and t = 36.0 s?

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Chapter1: Units, Trigonometry. And Vectors
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A particle moves along the x-axis. The velocity of this particle as a function of time is shown in the figure. Assume the particle is located at x = 0 m at time t = 0 s.

What is the acceleration of the particle at time t = 22.0 s?

What is the position of the particle along the x-axis at time t = 22.0 s?

What is the net displacement of the particle between time t = 4.0 s and t = 36.0 s?

This image displays a velocity-time graph, which is a type of graph used to describe the motion of an object. The graph has the following features:

- **Axes**: 
  - The horizontal axis represents time, measured in seconds (s), ranging from 0 to 40 seconds.
  - The vertical axis represents velocity, measured in meters per second (m/s), ranging from -2 to 6 m/s.

- **Velocity Data**: 
  - From 0 to 10 seconds, the velocity increases from 1 m/s to approximately 4.5 m/s.
  - Between 10 to 20 seconds, the velocity sharply decreases to -2 m/s.
  - From 20 to 30 seconds, the velocity increases smoothly back to 0 m/s. 
  - Between 30 to 40 seconds, the velocity continues to increase sharply to 6 m/s.

- **Line Characteristics**:
  - The line segments are thick and clearly distinguish different phases of the velocity.
  - The transition between different velocity values is not uniform, indicating various rates of acceleration and deceleration.

This graph is useful for understanding changes in velocity over time, enabling analysis of motion such as periods of acceleration, deceleration, and rest.
Transcribed Image Text:This image displays a velocity-time graph, which is a type of graph used to describe the motion of an object. The graph has the following features: - **Axes**: - The horizontal axis represents time, measured in seconds (s), ranging from 0 to 40 seconds. - The vertical axis represents velocity, measured in meters per second (m/s), ranging from -2 to 6 m/s. - **Velocity Data**: - From 0 to 10 seconds, the velocity increases from 1 m/s to approximately 4.5 m/s. - Between 10 to 20 seconds, the velocity sharply decreases to -2 m/s. - From 20 to 30 seconds, the velocity increases smoothly back to 0 m/s. - Between 30 to 40 seconds, the velocity continues to increase sharply to 6 m/s. - **Line Characteristics**: - The line segments are thick and clearly distinguish different phases of the velocity. - The transition between different velocity values is not uniform, indicating various rates of acceleration and deceleration. This graph is useful for understanding changes in velocity over time, enabling analysis of motion such as periods of acceleration, deceleration, and rest.
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