1_Focus_Set_5_3.pdf 1 / 1 ANA 100% A hot air balloon takes off from the edge of a plateau. The balloon travels through the air along the parabolic path given by the function below. The land drops at a constant incline from the plateau at the rate of 1 vertical foot for each 5 horizontal feet. 4 f(x)== x² +=X 2500 5 Here x is the horizontal distance from takeoff in feet, and f(x) is height above the plateau in feet. Plateau Takeoff Horizontal Distance from Launch (11) Ground Decline Click here to see a DESMOS graph that is more to scale (https://bit.ly/3rgCy3m). After you click on the link you will have to click on the blue "Student Preview" button. Answer the following. 1. What is the height of the balloon above the plateau when x = 300 feet? 2. What is the height of the balloon above the ground when x = 300 feet? 3. To help with the landing, the balloon operator will drop safety ropes when the balloon has descended to 50 feet above the ground. Where does this occur? 4. Where does the balloon reach its maximum height above the plateau? 5. Where does the balloon reach its maximum height above the ground? 6. Where does the balloon hit the ground? Height above the plateau (ft) Sea သူနေထိုင်ရာ သတ်မှ O P CATE A

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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1_Focus_Set_5_3.pdf
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ANA
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A hot air balloon takes off from the edge of a plateau. The balloon travels through the air along
the parabolic path given by the function below. The land drops at a constant incline from the
plateau at the rate of 1 vertical foot for each 5 horizontal feet.
4
f(x)==
x²
+=X
2500
5
Here x is the horizontal distance
from takeoff in feet, and f(x) is
height above the plateau in feet.
Plateau Takeoff
Horizontal Distance from Launch (11)
Ground Decline
Click here to see a DESMOS graph that is more to scale
(https://bit.ly/3rgCy3m). After you click
on the link you will have to click on the blue "Student Preview" button.
Answer the following.
1. What is the height of the balloon above the plateau when x = 300 feet?
2. What is the height of the balloon above the ground when x = 300 feet?
3. To help with the landing, the balloon operator will drop safety ropes when the balloon has
descended to 50 feet above the ground. Where does this occur?
4. Where does the balloon reach its maximum height above the plateau?
5. Where does the balloon reach its maximum height above the ground?
6. Where does the balloon hit the ground?
Height above the plateau (ft)
Sea
သူနေထိုင်ရာ သတ်မှ
O
P
CATE
A
Transcribed Image Text:1_Focus_Set_5_3.pdf 1 / 1 ANA 100% A hot air balloon takes off from the edge of a plateau. The balloon travels through the air along the parabolic path given by the function below. The land drops at a constant incline from the plateau at the rate of 1 vertical foot for each 5 horizontal feet. 4 f(x)== x² +=X 2500 5 Here x is the horizontal distance from takeoff in feet, and f(x) is height above the plateau in feet. Plateau Takeoff Horizontal Distance from Launch (11) Ground Decline Click here to see a DESMOS graph that is more to scale (https://bit.ly/3rgCy3m). After you click on the link you will have to click on the blue "Student Preview" button. Answer the following. 1. What is the height of the balloon above the plateau when x = 300 feet? 2. What is the height of the balloon above the ground when x = 300 feet? 3. To help with the landing, the balloon operator will drop safety ropes when the balloon has descended to 50 feet above the ground. Where does this occur? 4. Where does the balloon reach its maximum height above the plateau? 5. Where does the balloon reach its maximum height above the ground? 6. Where does the balloon hit the ground? Height above the plateau (ft) Sea သူနေထိုင်ရာ သတ်မှ O P CATE A
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I see work and answers for all of the questions except number 3, "To help with the landing, the balloon operator will drop safety ropes when the balloon has descended to 50 feet above the ground. Where does this occur?

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