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 $d$.

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.