To compare the paths of the rockets launched by the two lab groups, we need to analyze the given data on both the height and time for each rocket.
### Lab Group A Data:
- Time (sec): 0, 2, 5, 8, 10
- Height (ft): 0, 48, 75, 48, 0
### Lab Group B Data:
- Time (sec): 0, 1, 5, 9, 10
- Height (ft): 0, 36, 100, 36, 0
Let's break down the steps to compare these rockets in terms of both air-time and maximum height:
1. Maximum Height Comparison:
- The maximum height for Lab Group A is 75 ft.
- The maximum height for Lab Group B is 100 ft.
- From this, we can see that Rocket B reached a higher height compared to Rocket A.
2. Comparison of Time Duration in Air:
- The total time for Rocket A is 10 seconds (from time 0 to time 10).
- The total time for Rocket B is also 10 seconds (from time 0 to time 10).
- Both rockets were in the air for the same amount of time—10 seconds.
3. Comparison of x-intercepts:
- Both rockets have the same x-intercepts at 0 and 10 seconds, meaning they were both launched and landed at the same times.
4. Path Description and Conclusions:
- Since the rockets have the same x-intercepts (0 seconds at launch and 10 seconds at landing), it means they were both in the air for the same duration.
- However, despite having the same air-time, the maximum heights reached by the rockets are different. Rocket B reached a higher altitude (100 ft) compared to Rocket A (75 ft).
### Final Comparison:
From the steps above, it is clear that:
- The rockets were in the air for the same amount of time (10 seconds), but Rocket B went higher in the air (100 ft compared to 75 ft for Rocket A).
Therefore, the correct statement is:
The rockets were in the air for the same amount of time, but the rocket for group B went higher in the air.
