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).