https://file.aiquickdraw.com/mathbot/file/1725391652825i7evp1tc.jpg

The problem asks to determine during which segment or segments the object's velocity is constant. To solve this, we'll analyze the velocity vs. time graph provided in the image.

### Observations:
- The velocity is constant when the graph is a horizontal line (i.e., when the slope of the graph is zero).
- The graph provided has labeled segments \( a \), \( b \), \( c \), \( d \), and \( e \).

### Analysis:
- **Segment \( a \):** The line has a positive slope, indicating increasing velocity, so the velocity is not constant.
- **Segment \( b \):** The line is horizontal, indicating a constant velocity.
- **Segment \( c \):** The line has a negative slope, indicating decreasing velocity, so the velocity is not constant.
- **Segment \( d \):** The line is horizontal, indicating a constant velocity.
- **Segment \( e \):** The line has a positive slope, indicating increasing velocity, so the velocity is not constant.

### Conclusion:
The object's velocity is constant during segments \( b \) and \( d \).

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Would you like more details or have any questions about this solution? Here are some related questions that you might find useful:

1. How do we determine the slope of a velocity-time graph?
2. What does a negative slope on a velocity-time graph indicate about the object's motion?
3. Can an object have a negative constant velocity? How would that appear on a graph?
4. What can be inferred about the object's acceleration during segments \( b \) and \( d \)?
5. How does the area under the velocity-time graph relate to the displacement of the object?

**Tip:** The slope of a velocity-time graph represents the acceleration. A flat (horizontal) segment means the acceleration is zero, indicating constant velocity.

During which segment or segments is the object's velocity constant in the provided velocity versus time graph?

Analyze the provided velocity-time graph to determine the segments where the object's velocity remains constant. This problem involves key concepts in kinematics and graph interpretation, suitable for students in Grades 9-12.

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