Calculus

A ship's course is set at a heading of 192 degrees, with a speed of 30 knots. A current is flowung from a bearing of 112 degrees, at 14 knots. Use Cartesian vectors to determine the resultant velocity of the ship.

  1. 👍
  2. 👎
  3. 👁
  1. Perform a vector addition of the ship's velocity with respect to the water (V1), plus the velocity of the water with respect to land (V2).
    i = unit vector east
    j = unit vector north

    V1 = 30 sin 192 i + 30 cos 192 j
    V2 = 14 sin 112 i + 14 cos 112 j.

    V1 + V2 = ?

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. trig

    Help! Ships A and B leave port at the same time and sail on straight paths making an angle of 60 degrees with each other. HOw far apart are the ships at the end of 1 hour if the speed of ship A is 25 km/h and that of ship B is 15

  2. Precalculus

    A ship is heading due north at 10 mph. The current is flowing southwest at 3 mph. Find the actual bearing and speed of the ship.

  3. Calculus

    "At 9am ship A is 50 km east of ship B. Ship A is sailing north at 40km/h and ship B is sailing south at 30km/h. How fast is the distance between them changing at noon?" I can never get these type of questions where two ships are

  4. Calculus

    A cruise ship's captain sets the ship's velocity to be 26 knots at a heading of 080 degrees. The current is flowing toward a bearing of 153 degrees at a speed of 8 knots. What is the ground velocity of the cruise ship?

  1. Math

    A marine surveyor uses a rangefinder and a compass to locate a ship and an island in the vicinity of the coast on which she stands. The rangefinder indicates that the island is 379 ft from her position and the ship is 600 ft from

  2. Math (PreCal)

    Kurt wants to sail his boat from a marina to an islnd 15 miles east of the marina. Along the course, there are several small islands they must avoid. He sails first on a heading of 70 degrees and then on a heading of 120 degrees.

  3. pre-calculus

    a ship passes by buoy b which is known to be 3000 yd from peninsula p. the ship is steaming east along line be and angle pbe is measured as 28 degrees. after 10 min., the ship is at s and angle pse is measured as 63 degrees. how

  4. HELP!!!!

    Lee is on a cliff 360 m above sea level, the angle of depression of a ship is 28 degrees. To the nearest meter, what is the distance between the ship and the base of the cliff? Would this be set up 360/tan28 due to it being the

  1. Trig

    a ships navigator determines that the ship is moving through the water at 17.5mi/h with a heading of 26.3 degrees north of east but the ship is actually moving at 19.3 mi/h in a direction of 33.7 degrees north of east. What is the

  2. bearing

    A ship is due east of a harbour. Another ship is also 3km from the harbour but on a bearing 042 degrees from it a. Find the distance between the two ships b. Find the bearing of the second ship from the first ship

  3. C Programming

    How do you reprompt after the user inputs a wrong number into the program in C Programming? Loop structure? i.e. I want my code to do this: Enter a Compass Heading: 500.7 Please Input a Compass Heading between 0 and 360 Degrees.

  4. Maths

    Two ships leave from the same port. One ship travels on a bearing of 157 degrees at 20 knots. The second ship travels on a bearing of 247 degrees at 35 knots. (1 knot is a speed of 1 nautical mile per hour). Calculate the bearing

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