Show WorkHits:The ﬂask will be filled with water (at a constant rate of 500 gallons per minute).It will take me exactly 10 minutes to escape from the chains.The diameter of the tank at 1 foot intervals.I am 5 feet 9 inches tall, and I'm pretty skinny so that you can ignore both my volume and the volume of the stool in your analysis.A gallon is equal to 0.13368 cubic feet. You can think of the volume and the height of the water as functions of time. You can easily find an expression for V (t), and then use your expression for volume in terms of height to solve for h(t). 5.5 t5.7 A6f6.3 A6.7t7t7.5A8.1 A8.9 fA10ft11.5 t14ft20ftAfter consulting with your enterprising and resourceful professor, he suggested that youmight be interested to know that I am 5 feet 9 inches tall, and I'm pretty skinny so that you canignore both my volume and the volume of the stool in your analysis.Yours sincerely,T. HoudiniA Few CommentsAfter consulting with T. Houdini, I have a few suggestions that may help you get started:•A gallon is equal to 0.13368 cubic feet.• You can think of the volume and the height of the water as functions of time. You caneasily find an expression for V (t), and then use your expression for volume in terms of heightto solve for h(t). Questions:1. So, I would like to escape from the shackles at the exact instant that thewater reaches the top of my head. I need your help in determining how tallthe stool should be?2. So at any time after the water begins flowing, I want to know how high thewater is in the tank? how fast the water is rising?3. I would like to know how long I will have to hold my breath during the lastpart of the stunt.

Consider the given: Flask filled with water per minute =500 gallons Diameter of the tank at the…

Answered: The ﬂask will be filled with water (at…

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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The ﬂask will be filled with water (at a constant rate of 500 gallons per minute).
It will take me exactly 10 minutes to escape from the chains.
The diameter of the tank at 1 foot intervals.
I am 5 feet 9 inches tall, and I'm pretty skinny so that you can ignore both my volume and the volume of the stool in your analysis.
A gallon is equal to 0.13368 cubic feet.
You can think of the volume and the height of the water as functions of time. You can easily find an expression for V (t), and then use your expression for volume in terms of height to solve for h(t).

5.5 t
5.7 A
6f
6.3 A
6.7t
7t
7.5A
8.1 A
8.9 fA
10ft
11.5 t
14ft
20ft
After consulting with your enterprising and resourceful professor, he suggested that you
might be interested to know that I am 5 feet 9 inches tall, and I'm pretty skinny so that you can
ignore both my volume and the volume of the stool in your analysis.
Yours sincerely,
T. Houdini
A Few Comments
After consulting with T. Houdini, I have a few suggestions that may help you get started:
•A gallon is equal to 0.13368 cubic feet.
• You can think of the volume and the height of the water as functions of time. You can
easily find an expression for V (t), and then use your expression for volume in terms of height
to solve for h(t).

Questions:
1. So, I would like to escape from the shackles at the exact instant that the
water reaches the top of my head. I need your help in determining how tall
the stool should be?
2. So at any time after the water begins flowing, I want to know how high the
water is in the tank? how fast the water is rising?
3. I would like to know how long I will have to hold my breath during the last
part of the stunt.

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