**Problem 7: Rocket Height Analysis**The height of a rocket (in feet) at selected times (in seconds) is shown in the graph provided. Analyze the data as follows:a) **For how long was the rocket in the air?**b) **What was the maximum height of the rocket?**c) **From how high was the rocket launched?**d) **After how many seconds did the rocket reach 300 feet?****Graph Description:**- The graph is a parabola representing the rocket’s height over time. - The x-axis is labeled with time in seconds, scaling from 0 to 8.- The y-axis is labeled with height in feet, scaling from 0 to 400.- Key points on the graph include: - **(0, 180):** The initial height of the rocket at launch. - **(1.775, 300):** The rocket reaches a height of 300 feet. - **(3, 324):** The maximum height of the rocket, which is 324 feet. - **(4.225, 300):** The rocket descends back to a height of 300 feet. - **(7.5, 0):** The rocket hits the ground at 7.5 seconds. This graphical analysis helps in understanding the vertical motion of the rocket throughout its flight.

A graph given, representing the height of the rocket at selected times.a. As we see that the graph hits the ground at 7.5 seconds. So up to 7.5 seconds the rocket is in the air. b. Vertex is at (3,324), so maximum height is 324 feet. c. The initial height is 180 feet. So the rocket launched from a height of 180 feet. d. After 4.225 seconds the rocket is at a height of 300 ft.

Math

Algebra

7. The height of a rocket (in feet) at selected times (in seconds), is shown in the graph at the right. a) For how long was the rocket in the air? b) What was the maximum height of the rocket? (3, 324) (4.225, 300) (1.775, 300) -200 (0, 180) -100 c) From how high was the rocket launched? d) After how many seconds did the rocket reach 300 feet? (7.5, 0)

7. The height of a rocket (in feet) at selected times (in seconds), is shown in the graph at the right. a) For how long was the rocket in the air? b) What was the maximum height of the rocket? (3, 324) (4.225, 300) (1.775, 300) -200 (0, 180) -100 c) From how high was the rocket launched? d) After how many seconds did the rocket reach 300 feet? (7.5, 0)

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Question

**Problem 7: Rocket Height Analysis**

The height of a rocket (in feet) at selected times (in seconds) is shown in the graph provided. Analyze the data as follows:

a) **For how long was the rocket in the air?**

b) **What was the maximum height of the rocket?**

c) **From how high was the rocket launched?**

d) **After how many seconds did the rocket reach 300 feet?**

**Graph Description:**

- The graph is a parabola representing the rocket’s height over time.
- The x-axis is labeled with time in seconds, scaling from 0 to 8.
- The y-axis is labeled with height in feet, scaling from 0 to 400.
- Key points on the graph include:
- **(0, 180):** The initial height of the rocket at launch.
- **(1.775, 300):** The rocket reaches a height of 300 feet.
- **(3, 324):** The maximum height of the rocket, which is 324 feet.
- **(4.225, 300):** The rocket descends back to a height of 300 feet.
- **(7.5, 0):** The rocket hits the ground at 7.5 seconds.

This graphical analysis helps in understanding the vertical motion of the rocket throughout its flight.

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