math calculus, can someone help me do this?

1. During World War 2, a U.S. navy submarine, sitting at a full stop on the surface of the Philippine Sea facing due north sights a Japanese Aircraft Carrier 5 miles, dead ahead. The carrier is sailing due east at a speed of 10 MPH. If the submarine carries torpedoes that run at 40 MPH, and it takes 3 minutes to aim, load, and fire the torpedo, at what angle must the submarine fire the torpedo to strike the carrier (report to 2 decimal places, i.e. 35.62 degrees). What is the running time of the torpedo? What is the total elapsed time from initial sighting to torpedo impact?

2.For the same data in problem number 1, show an alternate solution to the problem by finding the derivative of the trigonometric function, tan X for the given data. Show that the derivative of the tangent function will give the same angle found in the question 1. HINT: Angle measure must be done in radians.

Draw the picture.
The E distance component is 3/60*10 + 40Trunning. The N compoent is 5, the hypot is 40Trunning
Use the pyth theorm to get an equation, wit will be a quadratic , solve it for Trunning.
The N component is 5mi=40CosTheta*T, solve for Theta.

2. I don't understand this part. Theta is the firing angle, it is a constant, so the d/dt of tanTheta=0. Maybe the problem meant Theta as a function of something (initial range, carrier velocity, or torpedo velocity), but that is speculation. I am missing something here.

FYI, the best submarine torpedo in WWII was the 21inch Mk 17, it has a max speed of 33kts, and a max range of 13.5kyards. The torpedo cited above would have been a fantasy, as would have been a enemy carrier going only 10kts on a steady course. Life is not simple in war.




  1. 👍
  2. 👎
  3. 👁

Respond to this Question

First Name

Your Response

Similar Questions

  1. History

    How was the Spanish Civil War significant to the Nazi army prior to World War II? A:The Nazi army’s participation in Spain provided it with a training ground that improved its combat proficiency with new technology. B:The

  2. History

    Why did Adams increase the size of the American navy? A)He wanted to prepare for all-out war on Britain. B He hoped it would deter more attacks by French ships.*** C)He needed to use tax money to fund an increase in military

  3. history

    Which identifies how World War I influenced the Lost Generation of writers? World War I destroyed many universities in Europe, leading to a decline in literary studies. Their experiences in World War I led them to produce

  4. World History

    How was the Spanish Civil War significant to the Nazi army prior to World War II? Sale of German weapons to Spain allowed Germany to emerge from the Great Depression and make internal military improvements that it would use during

  1. History

    Which best defines the “stab in the back” myth? It is the idea that Jews betrayed Germany by orchestrating its defeat in World War I. It is the belief that the Weimar Republic would betray Germany if allowed to remain in

  2. Social Studies HELP!!!

    After World War II, the United States fought in which of these wars in order to keep more countries in Asia from becoming communist? * 1 point A. the First Iraq War B. the French and Indian War C. the War in Afghanistan & the Gulf

  3. Unit 3 The Modern World Unit Test

    1. Place the events related to the Russian Revolution in chronological order by checking the box in the order it occurs (My answer) First- Involvement in World War I causes hardships in Russia Second- A rebellion forces Tsar

  4. Social studies

    Many colonies in the Pacific islands began demanding independence A. During World War I B. When Japan seized control over the islanders during World war II C. After the defeat of Japan in World War II D. Soon after being colonized

  1. U.S. History

    What slowed down the United States entrance into World War one? European countries had been fighting wars off and on for many years. There was a strong feeling in the U.S. that we didn't want to be involved in Europe's wars.

  2. World History

    How did new military technology influence the fighting in World War I? A. It allowed battle fronts to move widely. B. It shortened the length of the war. C. It increased the number of casualties. D. It brought the European

  3. physics

    a ship sends a snoar pulse of frequency 30kHz and duration 1.0 ms towards a submarine and receives a reflection of the pulse 3.2 s later. the speed of sound in water is 1500 ms-1. find the distance of the submarine from the

  4. History

    Write a well-organized essay that explains how the Americans won the Revolutionary War. Your essay should include at least four paragraphs. Remember that you will be graded on content, organization, and mechanics (grammar,

You can view more similar questions or ask a new question.