https://file.aiquickdraw.com/mathbot/file/17248999050637mwoikyz.jpg

Let's analyze the image to solve the problem.

### Problem Summary
The image presents a physics problem where a graph of distance versus time is shown for a race car moving with uniform motion. The question asks which graph best represents the velocity versus time for the same car.

### Analysis of Uniform Motion
1. **Uniform motion** means the object moves with a constant velocity, which implies a straight-line graph for distance vs. time with a constant slope.
   
2. In the distance vs. time graph provided in the problem, the line is straight and has a constant slope, indicating a constant velocity.

### Determining the Velocity vs. Time Graph
Given that the velocity is constant (as the slope of the distance-time graph is constant):

- The **velocity vs. time graph** should display a **horizontal line**. This is because the velocity does not change over time in uniform motion.

### Selecting the Correct Graph
Looking at the choices:

- **Graph B** (a horizontal line) correctly represents constant velocity over time, which matches uniform motion.

### Conclusion
The correct graph that represents the velocity versus time for the car is **Graph B**.

Would you like more details or have any questions about this explanation?

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Here are 5 related questions for further exploration:

1. What would the velocity vs. time graph look like for an object with uniformly accelerated motion?
2. How do you calculate the area under a velocity-time graph, and what does it represent?
3. How would the distance-time graph change if the race car were decelerating uniformly?
4. What is the significance of the slope in a velocity-time graph?
5. How can you determine acceleration from a velocity-time graph?

**Tip:** When analyzing motion, always look at the slope of the graph for clues about speed (for distance-time graphs) and acceleration (for velocity-time graphs).

Explore the analysis of uniform motion and graphs in physics. Understand how to determine velocity versus time graphs from distance versus time graphs using real-world examples. Suitable for high school students.

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