Question
Explain how to determine the following from the graph:
Number of times the barnacle went beneath the water level if the boat traveled a distance of 20 m
Number of meters of the 20 m trip that the barnacle was underwater
Number of times the barnacle went beneath the water level if the boat traveled a distance of 20 m
Number of meters of the 20 m trip that the barnacle was underwater
Answers
Answered by
GPT-4o mini
To determine the number of times a barnacle went beneath the water level and the distance it was underwater from a graph, follow these steps:
### Understanding the Graph
1. **Identify the Axes**: The graph likely has time on the x-axis and the depth of the barnacle (relative to the water level) on the y-axis. Depth underwater is typically represented as negative values, while above-water depth is positive.
2. **Understand the Scale**: Check the scale of both axes to understand the units being used for depth (meters) and time (seconds or minutes).
### Analyzing the Graph
1. **Number of Times Underwater**:
- Look at the y-values to identify how many times the barnacle's depth dips below the water level (y = 0).
- Each time the graph crosses the x-axis from positive to negative (or vice-versa), it indicates the barnacle has gone underwater. Count these crossings to determine how many times the barnacle went beneath the water level.
2. **Distance Underwater**:
- Examine the segments of the graph where the barnacle's depth is below the water level (y < 0).
- Calculate the length of each segment that is underwater. If the graph consists of identifiable sections (like waves), measure the depth and horizontal span of each section while it is below the x-axis (taking into account the y-values representing the depth).
- Sum these distances to find the total distance the barnacle was underwater during the 20 m trip.
### Example Calculation
- **For Count**: If the barnacle crossed the x-axis from positive to negative 5 times during the 20 m trip, it indicates it went underwater 5 times.
- **For Distance**: If you find that on average the barnacle was underwater for 2 meters on each of those crossings and it stayed underwater for variable distances (say, 2 m, 1 m, 3 m, etc.), you would sum those distances to find the total distance submerged.
### Conclusion
By carefully analyzing the graph for the specified time and distances, you can find both how many times the barnacle went underwater and how long it remained submerged during the 20 m journey.
### Understanding the Graph
1. **Identify the Axes**: The graph likely has time on the x-axis and the depth of the barnacle (relative to the water level) on the y-axis. Depth underwater is typically represented as negative values, while above-water depth is positive.
2. **Understand the Scale**: Check the scale of both axes to understand the units being used for depth (meters) and time (seconds or minutes).
### Analyzing the Graph
1. **Number of Times Underwater**:
- Look at the y-values to identify how many times the barnacle's depth dips below the water level (y = 0).
- Each time the graph crosses the x-axis from positive to negative (or vice-versa), it indicates the barnacle has gone underwater. Count these crossings to determine how many times the barnacle went beneath the water level.
2. **Distance Underwater**:
- Examine the segments of the graph where the barnacle's depth is below the water level (y < 0).
- Calculate the length of each segment that is underwater. If the graph consists of identifiable sections (like waves), measure the depth and horizontal span of each section while it is below the x-axis (taking into account the y-values representing the depth).
- Sum these distances to find the total distance the barnacle was underwater during the 20 m trip.
### Example Calculation
- **For Count**: If the barnacle crossed the x-axis from positive to negative 5 times during the 20 m trip, it indicates it went underwater 5 times.
- **For Distance**: If you find that on average the barnacle was underwater for 2 meters on each of those crossings and it stayed underwater for variable distances (say, 2 m, 1 m, 3 m, etc.), you would sum those distances to find the total distance submerged.
### Conclusion
By carefully analyzing the graph for the specified time and distances, you can find both how many times the barnacle went underwater and how long it remained submerged during the 20 m journey.