calculus

An airplane is flying at 550 km/h on a heading of 080 degrees. The wind is blowing at 60 km/h from a bearing of 120 degrees. Find the ground velocity of the airplane and include the new bearing.

  1. 👍
  2. 👎
  3. 👁
  1. This is not calculus.

    The air (wind) velocity PLUS the plane's air velocity equals the ground velocity.

    Perform the vector addition

    1. 👍
    2. 👎
  2. Vpw = Vp + Vw = 550[80o] + 60[120o] =
    550*cos80+550*sin80 +60*Cos120+60*sin120
    = 95.5+541.6i - 30+52i = 65.5 + 593.6i.
    = 597mi/h[83.7o].

    1. 👍
    2. 👎
  3. Note: Vpw = 597km/h[83.7o] E. of N.

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. Trig

    An airplane is flying on a compass heading (bearing) of 340 degrees at 325 mph. A wind is blowing with the bearing 320 degrees at 40 mph. Find the component form of the velocity of the airplane. then find the actual ground speed

  2. Precalculus

    An airplane is flying on a bearing of 285 degrees at 480 mph. A wind is blowing with the bearing 265 degrees at 30? a. find the component from of the velocity of the airplane b. find the actual speed and direction of the airplane

  3. Trig/Precal

    An airplane flies on a compass heading of 90° at 310 mph. The wind affecting the plane is blowing from 332° at 40 mph. What is the true course and ground speed of the airplane?

  4. calculus

    An airplane is flying on a bearing of 80 degrees at 540mph. A wind is blowing with a bearing of 100 degrees at 55mph. Find the component form of the velocity of the airplane.

  1. trig

    An airplane is heading north at an airspeed of 500 km/hr, but there is a wind blowing from the northwest at 50 km/hr. how many degrees off course will the plane end up flying, and what is the plane's speed relative to the ground?

  2. algebra

    An airplane flying with the wind can cover a certain distance in a = 3 hours. The return trip against the wind takes b = 4.5 hours. How fast is the plane and what is the speed of the wind, if the one-way distance is c = 720 miles?

  3. precalculus

    an airplane flying at 550 miles per hour has a bearing of N 52(DEGREES)E. After flying 1.5 hours, how far north and how far east has the plane traveled from its point of departure?

  4. Mathematics

    An airplane has an airspeed of 400 km and is heading due west. If it encounters wind blowing north at 120 km/h, how many degrees north from west is the resultant velocity of the plane?

  1. pre calc

    The velocity of an aiplane heading east at 400 knots and a wind velocity of 50 knots northeast. The airplane encounters this wind, show the resultant velocity. What is the resulant speed and direction of the airplane? (the

  2. trig

    An aifplane is flying on a compass heading (bearing) of 170* at 460 mph. A wind is blowing with the bearing 200* at 80mph. a) Find the component form of the velocity of the airplane. b) Find the actual ground speed and direction

  3. Precalculus

    An airplane is flying with a constant altitude at a speed of 450 mph in a direction 10° north of west directly towards its final destination. The airplane then encounters wind blowing at a steady 34 mph in a direction 85° north

  4. Precalculus

    An airplane is flying due west at a velocity of 100 m/s. The wind is blowing south at 5 m/s. a. Draw a labeled diagram of the situation. b. Find the resulting ground speed and bearing of the airplane?

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