physics

posted by .

You are traveling on an airplane. The velocity of the plane with respect to the air is 180 m/s due east. The velocity of the air with respect to the ground is 40 m/s at an angle of 30° west of due north.

1)What is the speed of the plane with respect to the ground?

2)What is the heading of the plane with respect to the ground? (Let 0° represent due north, 90° represents due east)?

3)How far east will the plane travel in 1 hour?

  • physics -

    1. Vpa = 180m/s. @ 0 deg.
    Vag = 40m/s @ 120 deg,CCW.

    Vpg = Vpa + Vag,
    Vpg = (180 + 40cos120) + i40sin120,
    Vpg = 160 + i34.64,
    Vpg=sqrt((160)^2 + (34.64)^2)=163.7m/s.

    2. tanA = Y / X = 34.64 / 160 = 0.2165,
    A = 12.2 deg,CCW. = 12.2deg. North of
    East.

    3. 1 hr = 3600s.
    d = Vt = 163.7m/s * 3600s = 589,320m.

  • physics -

    Last answer is wrong, but thanks for the first two.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Physics

    An airplane flies due north at 220 km/h with respect to the air. There is a wind blowing at 65 km/h to the northeast with respect to the ground. What are the plane's speed and direction with respect to the ground?
  2. physics

    The velocity of an airplane with respect to the ground is 200 m/s at an angle of 30 degrees NORTH of EAST. The velocity of the airplane with respect to the air is 150 m/s at an angle of 60 degrees NORTH of EAST. What is the velocity …
  3. calculus

    An airplane's velocity with respect to the air is 580 miles per hour, and its bearing is 332 degrees. The wind, at the altitude of the plane, is from the SW and has a velocity of 60 mph. What is the true direction of the plane, and …
  4. Physics

    You are traveling on an airplane. The velocity of the plane with respect to the air is 110.0 m/s due east. The velocity of the air with respect to the ground is 39.0 m/s at an angle of 30° west of due north. 1) What is the speed of …
  5. physics

    You are on an airplane traveling 30° south of due west at 130.0 m/s with respect to the air. The air is moving with a speed 31.0 m/s with respect to the ground due north. 1) What is the speed of the plane with respect to the ground?
  6. physics

    A wind is blowing directly from east to west. The pilot of a small plane finds that if he points the nose of the plane 30.0 ° north of east, his velocity with respect to the ground is in the direction 55.1 ° north of east. The speed …
  7. Physics HELP!

    An airplane flies due north at 240 km/h with respect to the air. There is a wind blowing at 75 km/h to the northeast with respect to the ground. What are the plane's speed and direction with respect to the ground?
  8. Physics

    An airplane flies due north at 260 km/h with respect to the air. There is a wind blowing at 60 km/h to the northeast with respect to the ground. What are the plane's speed and direction with respect to the ground?
  9. Physics

    An airplane flies due north at 260 km/h with respect to the air. There is a wind blowing at 60 km/h to the northeast with respect to the ground. What are the plane's speed and direction with respect to the ground?
  10. Physics

    You are on an airplane traveling 30° south of due west at 130 m/s with respect to the air. The air is moving with a speed 30 m/s with respect to the ground due north. One question.. 2) What is the heading of the plane with respect …

More Similar Questions