At noon, ship A is 20 nautical miles due west of ship B. Ship A is sailing west at 24 knots and ship B is sailing north at 23 knots. How fast (in knots) is the distance between the ships changing at 4 PM? (1 knot is a speed of 1 nautical mile per hour.)

Answer:

Question

At noon, ship A is 20 nautical miles due west of ship B. Ship A is sailing west at 24 knots and ship B is sailing north at 23 knots. How fast (in knots) is the distance between the ships changing at 4 PM? (1 knot is a speed of 1 nautical mile per hour.) 

 Answer:

anonymous · Answer

you have two vectors

anonymous · Answer

Hint:Note: Draw yourself a diagram which shows where the ships are at noon and where they are "some time" later on. You will need to use geometry to work out a formula which tells you how far apart the ships are at time t, and you will need to use distance = velocity * {time} to work out how far the ships have travelled after time t.