To determine which statement is correct about the remote-controlled car based on the graph of distance versus time, we need to analyze the graph's slope.
- Constant Speed: If the graph shows a straight line, the car is traveling at a constant speed. The slope of the line represents the speed: steepness of the slope indicates the speed.
- Increasing Speed: If the graph shows a curve that is getting steeper over time, the car is accelerating, meaning its speed is increasing.
Given that we cannot see the graph, I can provide guidance based on the options:
- Option a: 6 meters per second at constant speed implies a straight line with a slope of 6.
- Option b: 12 meters per second at constant speed implies a straight line with a slope of 12.
- Option c: 6 meters per second but at increasing speed means the slope increases over time starting at 6.
- Option d: 12 meters per second but at increasing speed means the slope increases starting at 12.
To choose the correct answer, visually or mathematically evaluate the graph:
- If it is a straight line, it is constant speed (either a or b).
- If it is a curve becoming steeper, then it is accelerating (either c or d).
Feel free to describe the key features of the graph (slope, shape) so that I can help you choose the right answer!