After t hours
The position of Ship A will be (20 + 25*t, 0)
The position of Ship B will be (0, 23*t)
Hence, the distance between the two ships at any time t will be
Taking the derivative of the s function with respect to t, we get
Substituting the value of t=6, since time difference between 6 pm and 12 noon is equal to 6
Hence the distance is changing wrt time at the rate of 33.90 knots when time is equivalent to 6 hours
Note - Post any doubts/queries in comments section.
Due Sun 05/26/2019 11:59 pm Show Intro/Instnactios At noon, ship A is 20 nautical miles due west of ship B. Ship A...
At noon, ship A is 40 nautical miles due west of ship B. Ship A is sailing west at 16 knots and ship B is sailing north at 17 knots. How fast (in knots) is the distance between the ships changing at 5 PM? (Note: 1 knot is a speed of 1 nautical mile per hour.)
At noon, ship A is 40 nautical miles due west of ship B. Ship A is sailing west at 24 knots and ship B is sailing north at 22 knots. How fast (in knots) is the distance between the ships changing at 6 PM? (Note: 1 knot is a speed of 1 nautical mile per hour.)
At noon, ship A is 50 nautical miles due west of ship B. Ship A is sailing west at 25 knots and ship B is sailing north at 16 knots. How fast (in knots) is the distance between the ships changing at 6 PM? (Note: 1 knot is a speed of 1 nautical mile per hour.)
At noon, ship A is 40 nautical miles due west of ship B. Ship A is sailing west at 18 knots and ship B is sailing north at 23 knots. How fast (in knots) is the distance between the ships changing at 4 PM? (Note: 1 knot is a speed of 1 nautical mile per hour.)
At noon, ship A is 30 nautical miles due west of ship B. Ship A is sailing west at 16 knots and ship B is sailing north at 22 knots. How fast (in knots) is the distance between the ships changing at 7 PM? (Note: 1 knot is a speed of 1 nautical mile per hour.)
At noon, ship A is 30 nautical miles due west of ship B. Ship A is sailing west at 21 knots and ship B is sailing north at 15 knots. How fast (in knots) is the distance between the ships changing at 4 PM? (Note: 1 knot is a speed of 1 nautical mile per hour.) this is a cal problem.
At noon, ship A is 50 nautical miles due west of ship B. Ship A is sailing west at 16 knots and ship B is sailing north at 21 knots. How fast (in knots) is the distance between the ships changing at 3 PM
t noon, ship A is 30 nautical miles due west of ship B. Ship A is sailing west at 16 knots and ship B is sailing north at 22 knots. How fast (in knots) is the distance between the ships changing at 7 PM? (Note: 1 knot is a speed of 1 nautical mile per hour.)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...
At noon, ship A is 20 nautical miles due west of ship B. Ship A is sailing west at 21 knots and ship B is sailing north at 18 knots. How fast (in knots) is thedistance between the ships changing at 4 PM? (Note: 1 knot is a speed of 1 nautical mile per hour.)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...
At noon, ship A is 50 nautical miles due west of ship B. Ship A is sailing west at 15 knots and ship B is sailing north at 25 knots. How fast (in knots) is thedistance between the ships changing at 5 PM? (Note: 1 knot is a speed of 1 nautical mile per hour.)