https://file.aiquickdraw.com/mathbot/file/1725537982215qrfq029b.jpg

The graph you provided shows "Speed vs Time" and the multiple-choice question asks how constant velocity is represented on this graph.

Let's analyze the graph first:

- The graph has speed on the vertical axis (y-axis) and time on the horizontal axis (x-axis).
- From 0 to about 20 seconds, the speed increases, meaning the velocity is not constant (this is an acceleration phase).
- From about 20 to 80 seconds, the speed remains constant at 40 m/s, indicating no change in speed. This section is a flat horizontal line.
- From 80 seconds onward, the speed decreases until it reaches 0, which represents deceleration.

### Now, addressing the question:
**How is a constant velocity shown on the graph?**

The constant velocity is shown by the **horizontal part of the line** where the speed remains unchanged. This occurs between 20 and 80 seconds on the graph.

Therefore, the correct answer is:
- **B: the horizontal part of the line**.

Let me know if you need more details or further clarification!

### Related Questions:
1. What does the sloping part of the line at the beginning of the graph represent?
2. How would an increasing acceleration be represented on a speed-time graph?
3. What does the area under the graph represent in a speed-time graph?
4. If the line was steeper during the deceleration, what would that indicate?
5. How can you determine the total distance traveled using this graph?

### Tip:
The slope of a speed-time graph gives you acceleration, while the area under the curve gives you the distance traveled.

How is a constant velocity shown on the graph?

Understand how a constant velocity is represented on a speed-time graph. This problem demonstrates key physics concepts of motion and kinematics. Suitable for students in Grades 9-10.

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