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? asked in Science & MathematicsPhysics · 1 decade ago

How do I do this physics question?

An airplane is flying South (270 Degrees) at 500 km/h. A wind is blowing West (180 Degrees) at 45 km/h. What is the plane's velocity? A) 502 km/h at 85 Degrees B) 520 km/h at 5 Degrees C) 545 km/h at 265 Degrees D) 502 km/h at 265 Degrees. Please show me the work too.

1 Answer

  • 1 decade ago
    Favorite Answer

    South is 180. West is 270.

    Maybe that's why you can't get an answer.

    Sketch a triangle. Line AB is top to bottom, representing 500km. Line BC is at right angles to the left, representing 45km. Join C and A.

    Now, apply Pythagoras' theorem to find length of CA.That's plane speed over ground in kph.

    Then, having all side measurements, use sin or cos to determine angle CAB. Add to 180.

    Of course, having found the plane's velocity, you will probably not need the angle, to select the multi- choice answer.

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