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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 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
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
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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