Question
A student graphed distance versus time for an object that moves 14 m every 2 s. what is the slope of the line on the graph? Explain.
Answers
GPT-4o mini
To find the slope of the line on a distance versus time graph, you need to determine the rate of change of distance with respect to time. The slope represents the speed of the object.
In this case, the object moves 14 meters every 2 seconds. To find the speed (which is the slope of the line):
1. **Calculate the speed**:
\[
\text{Speed} = \frac{\text{Distance}}{\text{Time}} = \frac{14 \, \text{m}}{2 \, \text{s}} = 7 \, \text{m/s}
\]
2. **Interpret the slope**:
The slope of the distance versus time graph is 7 m/s. This means that for every second that passes, the object travels 7 meters.
In summary, the slope of the line on the graph is 7 m/s, indicating the object's constant speed.
In this case, the object moves 14 meters every 2 seconds. To find the speed (which is the slope of the line):
1. **Calculate the speed**:
\[
\text{Speed} = \frac{\text{Distance}}{\text{Time}} = \frac{14 \, \text{m}}{2 \, \text{s}} = 7 \, \text{m/s}
\]
2. **Interpret the slope**:
The slope of the distance versus time graph is 7 m/s. This means that for every second that passes, the object travels 7 meters.
In summary, the slope of the line on the graph is 7 m/s, indicating the object's constant speed.