Question
A skydiver falls 4,800 feet in 4 seconds. Which graph has a slope should i be looking for?
Answers
GPT-4o mini
To analyze the scenario of a skydiver falling 4,800 feet in 4 seconds, we should consider the slope of a graph representing this motion.
1. **Identify the quantities:** In this case, the vertical axis (y-axis) could represent the distance fallen (in feet), and the horizontal axis (x-axis) could represent time (in seconds).
2. **Calculate the slope:** The slope of a line on a graph represents the rate of change. In this context, the slope would indicate the speed of the skydiver. It can be calculated using the formula:
\[
\text{slope} = \frac{\text{change in distance}}{\text{change in time}} = \frac{4800 \text{ feet}}{4 \text{ seconds}} = 1200 \text{ feet per second}
\]
3. **Graph representation:** A graph illustrating this motion would be a straight line, starting from the origin (0,0) and rising as time increases. The slope, or steepness, of this line would be 1200 feet per second.
4. **What to look for:** When looking for a graph that represents this scenario, look for a line that has a positive slope of 1200 feet per second. The line should show a linear increase in distance over time, demonstrating constant speed during the fall.
In summary, you are looking for a graph with a straight line that has a slope of 1200 feet per second, indicating the speed of the skydiver.
1. **Identify the quantities:** In this case, the vertical axis (y-axis) could represent the distance fallen (in feet), and the horizontal axis (x-axis) could represent time (in seconds).
2. **Calculate the slope:** The slope of a line on a graph represents the rate of change. In this context, the slope would indicate the speed of the skydiver. It can be calculated using the formula:
\[
\text{slope} = \frac{\text{change in distance}}{\text{change in time}} = \frac{4800 \text{ feet}}{4 \text{ seconds}} = 1200 \text{ feet per second}
\]
3. **Graph representation:** A graph illustrating this motion would be a straight line, starting from the origin (0,0) and rising as time increases. The slope, or steepness, of this line would be 1200 feet per second.
4. **What to look for:** When looking for a graph that represents this scenario, look for a line that has a positive slope of 1200 feet per second. The line should show a linear increase in distance over time, demonstrating constant speed during the fall.
In summary, you are looking for a graph with a straight line that has a slope of 1200 feet per second, indicating the speed of the skydiver.