math calculus, can someone help me do this?
posted by jon .
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.
luyiouioi
yuyuyuyuuuuuuyuuyuyuyuyuyuyuyuyuyuuyuyuyuyuyuyyuuyuyuyuyuyuyuyuyyuuy0
fgfgfggggggft
Respond to this Question
Similar Questions

physics
You are a pilot on an aircraft carrier. You must fly to another aircraft carrier, now 1450 km at 45 degree of your position, moving at 56 km/hr due east. The wind is blowing from the south at 72 km/hr. Calculate the heading and airspeed … 
physics
you are a pilot on an aircraft carrier. you must fly to another aircraft carrier, now 1,450km at 45 degres of your position, moving at 56 km/h due east. the wind is blowing from the south at 72 km/h. calculate the heading and air speed … 
US history HELP
All of the following statements about the Battle of Midway are true EXCEPT that: 1. ( They never retreated :S ) the Japanese navy was forced into retreat less than six months after Pearl Harbor 2.(possible) the battle began with another … 
pre calc
A navy destroyer is exactly 68 miles North of an aircraft carrier, which is travelling West 21 degrees North at 18 mph. what speed and bearing must the destroyer maintain if it is to reach the aircraft carrier in exactly 3 hrs? 
pre calc
A navy destroyer is exactly 68 miles North of an aircraft carrier, which is travelling West 21 degrees North at 18 mph. what speed and bearing must the destroyer maintain if it is to reach the aircraft carrier in exactly 3 hrs? 
pre calc
A navy destroyer is exactly 62 miles south of an aircraft carrier, which is travelling W18°S at 24 mph. What speed and bearing must the destroyer maintain if it is to reach the aircraft carrier in exactly 2 hours ? 
help!!!!
A navy destroyer is exactly 68 miles North of an aircraft carrier, which is travelling West 21 degrees North at 18 mph. what speed and bearing must the destroyer maintain if it is to reach the aircraft carrier in exactly 3 hrs? 
pre calc
A navy destroyer is exactly 68 miles North of an aircraft carrier, which is travelling West 21 degrees North at 18 mph. what speed and bearing must the destroyer maintain if it is to reach the aircraft carrier in exactly 3 hrs? 
Social Studies (Check, Please!) (Ms. Sue)
1. How did the status of women and African Americans in the armed forces change during the war? 
physics
A steel aircraft carrier is 358 m long when moving through the icy North Atlantic at a temperature of 1.99 °C. By how much does the carrier lengthen when it is traveling in the warm Mediterranean Sea at a temperature of 22.0 °C?