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). after 10 minutes amount of water in the tank=66.84 ft3 t=69.3 minutes h(t)=e66.84t/100pi  -1 h(10)=e66.84(10)/100pi  -1=7.39 ft  Height of stool=1.64 ft Height of water in the tank=7.39 ft Questions: show work How fast is the water rising?  I would like to know how long I will have to hold my breath during the last part of the stunt.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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hints:

  • 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).
  • after 10 minutes amount of water in the tank=66.84 ft3
  • t=69.3 minutes
  • h(t)=e66.84t/100pi  -1
  • h(10)=e66.84(10)/100pi  -1=7.39 ft 
  • Height of stool=1.64 ft
  • Height of water in the tank=7.39 ft

Questions: show work

  1. How fast is the water rising?
  2.  I would like to know how long I will have to hold my breath during the last part of the stunt.
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).
Transcribed Image Text: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).
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