When does Group A's egg reach a height of 160 meters? Make sure your answer includes units. Group A Group B 170- Height (meters) 140.4 160 150 140 Time (seconds) 130 148.975 120 155.1 110 3. 158.775 100 90 4. 160 80 70 60 50 10 1.R1 10 1 12 13 草16 Time (s) Enter your answer Height (m)

Algebra and Trigonometry (6th Edition)
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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**Understanding Egg Drop Experiments: Heights Over Time**

Welcome to our educational exploration of egg drop experiments! In this lesson, we will examine data from two different groups (Group A and Group B) focusing on the heights reached by their eggs over time.

### Group A Data:

#### Table of Heights Over Time
The following table provides the height (in meters) reached by Group A's egg at different time intervals (in seconds).

| Time (seconds) | Height (meters) |
|----------------|-----------------|
| 0              | 140.4           |
| 1              | 148.975         |
| 2              | 155.1           |
| 3              | 158.775         |
| 4              | 160             |

#### Analysis:
- At time 0 seconds, the height is 140.4 meters.
- At time 4 seconds, the height reaches 160 meters.

### Group B Data:

#### Graph of Heights Over Time
The graph illustrates the height (in meters) of Group B's egg over a range of time (in seconds).

- The x-axis represents time in seconds, ranging from 0 to 15 seconds.
- The y-axis represents height in meters, ranging from 0 to 170 meters.

#### Key Observations:
- The graph shows a parabolic trajectory indicating the egg reaching maximum height and then descending.
- The maximum height is reached where the graph peaks before descending downwards.
- The height starts at 0 meters and follows a symmetric path, ascending and then descending uniformly.

### Question for Students:
**When does Group A’s egg reach a height of 160 meters? Make sure your answer includes units.**

#### Answer:
By examining the table for Group A, we see that the egg reaches a height of 160 meters at 4 seconds.

**Additional Analysis:**

- Compare the height progression in Group A with Group B's graph.
- Notice how Group B’s egg reaches higher than Group A and follows a symmetric parabolic path, which can imply varied initial velocities or force applications.

This lesson should help you understand and analyze how objects behave in terms of height over time in a controlled experimental setting.
Transcribed Image Text:**Understanding Egg Drop Experiments: Heights Over Time** Welcome to our educational exploration of egg drop experiments! In this lesson, we will examine data from two different groups (Group A and Group B) focusing on the heights reached by their eggs over time. ### Group A Data: #### Table of Heights Over Time The following table provides the height (in meters) reached by Group A's egg at different time intervals (in seconds). | Time (seconds) | Height (meters) | |----------------|-----------------| | 0 | 140.4 | | 1 | 148.975 | | 2 | 155.1 | | 3 | 158.775 | | 4 | 160 | #### Analysis: - At time 0 seconds, the height is 140.4 meters. - At time 4 seconds, the height reaches 160 meters. ### Group B Data: #### Graph of Heights Over Time The graph illustrates the height (in meters) of Group B's egg over a range of time (in seconds). - The x-axis represents time in seconds, ranging from 0 to 15 seconds. - The y-axis represents height in meters, ranging from 0 to 170 meters. #### Key Observations: - The graph shows a parabolic trajectory indicating the egg reaching maximum height and then descending. - The maximum height is reached where the graph peaks before descending downwards. - The height starts at 0 meters and follows a symmetric path, ascending and then descending uniformly. ### Question for Students: **When does Group A’s egg reach a height of 160 meters? Make sure your answer includes units.** #### Answer: By examining the table for Group A, we see that the egg reaches a height of 160 meters at 4 seconds. **Additional Analysis:** - Compare the height progression in Group A with Group B's graph. - Notice how Group B’s egg reaches higher than Group A and follows a symmetric parabolic path, which can imply varied initial velocities or force applications. This lesson should help you understand and analyze how objects behave in terms of height over time in a controlled experimental setting.
**Egg Drop Experiment Analysis**

**Question:** When does Group B's egg first reach a height of 160 meters? Make sure your answer includes units.

### Data for Group A

| Time (seconds) | Height (meters) |
|----------------|-----------------|
| 0              | 140.4           |
| 1              | 148.975         |
| 2              | 155.1           |
| 3              | 158.775         |
| 4              | 160             |

The table presents the height (in meters) of Group A's egg at various time intervals (in seconds). The height increases over time until it reaches 160 meters at 4 seconds.

### Graph for Group B

The graph on the right displays the height of Group B's egg (in meters) as a function of time (in seconds). 

- The x-axis denotes time, ranging from 0 to 16 seconds.
- The y-axis represents height, starting at 0 meters and extending up to 170 meters.

#### Detailed Analysis of Group B's Graph:

The graph exhibits a parabolic shape, indicating that the egg is initially rising, reaching a peak, and then falling back down. Group B's egg first reaches the height of 160 meters during the upward phase of its flight.

**Finding the exact time:**

1. Observe the intersection of the parabolic curve with the horizontal line representing 160 meters.
2. From the graph, it's evident that the egg reaches 160 meters at approximately 4 seconds on its ascent.

**Conclusion:**

Group B's egg first reaches the height of 160 meters at approximately 4 seconds.
Transcribed Image Text:**Egg Drop Experiment Analysis** **Question:** When does Group B's egg first reach a height of 160 meters? Make sure your answer includes units. ### Data for Group A | Time (seconds) | Height (meters) | |----------------|-----------------| | 0 | 140.4 | | 1 | 148.975 | | 2 | 155.1 | | 3 | 158.775 | | 4 | 160 | The table presents the height (in meters) of Group A's egg at various time intervals (in seconds). The height increases over time until it reaches 160 meters at 4 seconds. ### Graph for Group B The graph on the right displays the height of Group B's egg (in meters) as a function of time (in seconds). - The x-axis denotes time, ranging from 0 to 16 seconds. - The y-axis represents height, starting at 0 meters and extending up to 170 meters. #### Detailed Analysis of Group B's Graph: The graph exhibits a parabolic shape, indicating that the egg is initially rising, reaching a peak, and then falling back down. Group B's egg first reaches the height of 160 meters during the upward phase of its flight. **Finding the exact time:** 1. Observe the intersection of the parabolic curve with the horizontal line representing 160 meters. 2. From the graph, it's evident that the egg reaches 160 meters at approximately 4 seconds on its ascent. **Conclusion:** Group B's egg first reaches the height of 160 meters at approximately 4 seconds.
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