A firefighter holds a hose 3 m off the ground and directs a stream of water toward a burning building. The water leaves the hose at an initial speed of 16 m/s at an angle of 30°. The height of the water can be approximated by h (x)--0.026x²+0.562x+3, where h (x) is the height of the water in meters at a point x meters horizontally from the firefighter to the building. Part 1 of 3 (a) Determine the horizontal distance from the firefighter at which the maximum height of the water occurs. The water reaches a maximum height when the horizontal distance from the firefighter to the building is approximately 10.8 m. Round to I decimal place. Part: 1/3 Part 2 of 3 (b) What is the maximum height of the water? The maximum height of the water is m. Round to I decimal place. X
A firefighter holds a hose 3 m off the ground and directs a stream of water toward a burning building. The water leaves the hose at an initial speed of 16 m/s at an angle of 30°. The height of the water can be approximated by h (x)--0.026x²+0.562x+3, where h (x) is the height of the water in meters at a point x meters horizontally from the firefighter to the building. Part 1 of 3 (a) Determine the horizontal distance from the firefighter at which the maximum height of the water occurs. The water reaches a maximum height when the horizontal distance from the firefighter to the building is approximately 10.8 m. Round to I decimal place. Part: 1/3 Part 2 of 3 (b) What is the maximum height of the water? The maximum height of the water is m. Round to I decimal place. X
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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![A firefighter holds a hose 3 m off the ground and directs a stream of water toward a burning building. The water leaves the hose at an initial speed of 16 m/s at
an angle of 30°. The height of the water can be approximated by h (x)--0.026x²+0.562x+3, where h (x) is the height of the water in meters at a point x
meters horizontally from the firefighter to the building.
Part 1 of 3
(a) Determine the horizontal distance from the firefighter at which the maximum height of the water occurs.
The water reaches a maximum height when the horizontal distance from the firefighter to the building is approximately 10.8 m. Round to I decimal
place.
Part: 1/3
Part 2 of 3
(b) What is the maximum height of the water?
The maximum height of the water is
1 m. Round to I decimal place.
X](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5f4bdf09-d79d-4486-b045-adf743a6510d%2F43e49b7a-9687-419c-91f8-7e59d98fcc26%2F9q1zsbu_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A firefighter holds a hose 3 m off the ground and directs a stream of water toward a burning building. The water leaves the hose at an initial speed of 16 m/s at
an angle of 30°. The height of the water can be approximated by h (x)--0.026x²+0.562x+3, where h (x) is the height of the water in meters at a point x
meters horizontally from the firefighter to the building.
Part 1 of 3
(a) Determine the horizontal distance from the firefighter at which the maximum height of the water occurs.
The water reaches a maximum height when the horizontal distance from the firefighter to the building is approximately 10.8 m. Round to I decimal
place.
Part: 1/3
Part 2 of 3
(b) What is the maximum height of the water?
The maximum height of the water is
1 m. Round to I decimal place.
X
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