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In: Advanced Math

*** PLEASE EXPLAIN ANSWER *** Dear Students: I have recently been employed by HMS Nautical Inc...

*** PLEASE EXPLAIN ANSWER ***

Dear Students:

I have recently been employed by HMS Nautical Inc to work on their submarine program. I have only some basic data to work with and no idea how to use it to get the information I need.

Here is what I know. First, I know that our Subs have a maximum running depth of 500 feet below sea level. I also know that a sub functioning at acceptable levels should be able to reach maximum depth in 10 minutes. Finally I know that I need to multiply the decent by a factor of 5 to achieve an accurate model. I also have a chart that lists times and depths for the sub.

Time (minutes)

1

5

9

10

11

15

Depth in Meters

-95

-375

-495

-500

-495

-375

Finally, I know that the sub follows a quadratic model when it descends and then ascends.

I have been told that you will be able to take this data and make sense of it. I would like a model for the path of the submarine as it descends to its running depth and then returns to the surface. I want to be able to use this model to predict where the sub will be at any time during its decent/ascent cycle. I would also like to know after how many minutes I should expect the sub to breech the surface of the water again.

Please explain clearly how you came up with the model so that I can repeat the process for new additions to our fleet of submarines. I appreciate any help you can give me in this matter. I would like your response returned to me either as a business letter !!!

Sincerely,

Nemo Hook

HMS Nautical In

Solutions

Expert Solution

Colby Messinger answered 2 years ago
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