pre calc

posted by jim

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 ?

1. Damon

\$%^& math teachers do not know navigation. They say "bearing" when they mean "heading" but anyway:

Where will the carrier be in two hours if it starts at the origin at t = 0?
48 miles from origin at 18 degrees S of W
That puts it at x = -48 cos 18 = -45.65
and y = - 48 sin 18 = -14.83

Now the destroyer was at (0, -62) at t = 0
In two hours it must go North 62-14.83 = 47.17 miles North
In two hours it must go 45.85 miles West

distance = sqrt(45.85^2 + 47.17^2)
= 65.78 miles in two hours
so 65.78 /2 = 32.89 knots assuming those miles are nautical miles

tan angle west of north = 45.85/47.17
so angle west of north = 44.2 west of north
360 - 44.2 = 315.8
so steer a heading of 316 degrees true at 32.9 knots

Similar Questions

1. 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 …
2. Physics

A F-14 (mass 2 tonne) aircraft lands on an aircraft carrier. It must reduce its velocity from 130kmh to rest. If the grappler hooks can exert 75 000N of tension, what time will it take to bring the plane to a stop?
3. 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 …
4. physics

An aircraft carrier operating in the Persian Gulf is about to receive aircraft. There is a wind from the north at 10kts. In preparation to receive aircraft. the Captain orders the carrier to alter its heading to bring the ship directly …
5. 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?
6. 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?
7. 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?
8. 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?
9. physics

a steel aircraft carrier is 370 meter long when moving through the icy north atlantic at a temperature of 2.0 degrees celsius. by how much the carrier lengthen when it is travelling in the warm mediterranean sea at a temperature of …
10. Math

Can someone help me with a formula for this?

More Similar Questions