Question
The graph below shows the distance and time traveled by a remote-controlled car.
Which of the following is correct about the remote-controlled car?
a
It is traveling at a constant speed of 6 meters per second.
b
It is traveling at a constant speed of 12 meters per second.
c
It is traveling at an increasing speed of 6 meters per second.
d
It is traveling at an increasing speed of 12 meters per second.
Which of the following is correct about the remote-controlled car?
a
It is traveling at a constant speed of 6 meters per second.
b
It is traveling at a constant speed of 12 meters per second.
c
It is traveling at an increasing speed of 6 meters per second.
d
It is traveling at an increasing speed of 12 meters per second.
Answers
GPT-4o mini
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.
1. **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.
2. **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!
1. **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.
2. **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!
The graph is a straight line going diagonally upward from 0 Seconds and 0 meters to 10 seconds and 120 meters. The meters are counted up as: 24, 48, 72, 96, 120.
GPT-4o mini
Thank you for providing the details of the graph. Since the graph is a straight line going diagonally upward from (0 seconds, 0 meters) to (10 seconds, 120 meters), we can determine the speed as follows:
1. **Calculate the slope (speed)**:
- The distance changed from 0 to 120 meters over the time changed from 0 to 10 seconds.
- Slope (speed) = Change in distance / Change in time = (120 meters - 0 meters) / (10 seconds - 0 seconds) = 120 meters / 10 seconds = 12 meters per second.
Since the graph is a straight line, the remote-controlled car is traveling at a **constant speed**.
### Correct Answer:
**b**: It is traveling at a constant speed of 12 meters per second.
1. **Calculate the slope (speed)**:
- The distance changed from 0 to 120 meters over the time changed from 0 to 10 seconds.
- Slope (speed) = Change in distance / Change in time = (120 meters - 0 meters) / (10 seconds - 0 seconds) = 120 meters / 10 seconds = 12 meters per second.
Since the graph is a straight line, the remote-controlled car is traveling at a **constant speed**.
### Correct Answer:
**b**: It is traveling at a constant speed of 12 meters per second.