Physics

A small plane can travel at 200 km/h in still air. If a 50.0 km/h wind is coming from the east, determine the ground velocity of the plane if the pilot keeps the plane pointed [N].

  1. 👍 0
  2. 👎 0
  3. 👁 684
  1. This is just pythagorean theorem/trig.

    Basically the plane's velocity and the wind velocity are both "legs" of a right triangle. You apply the pythagorean theorem to find the ground velocity.

    square root of (200^2+50^2) = 206 km/h. Try it!

    Also, if you need to find the degree north west the plane is going, you can use trigonometry: (finding the inverse tangent)

    tan^-1(50/200) = 14 degrees.

    Note that the answers are all approximate.

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. Physics

    A plane can travel with a speed of 80 mi/hr with respect to the air. Determine the resultant velocity of the plane (magnitude only) if it encounters a: 10 mi/hr cross wind; 60 mi/hr cross wind; 10 mi/hr tailwind; 10 mi/hr

  2. Math

    Me, again... Please help me. Thank you. Assume a plane is flying directly north at 200 mph, but there is a wind blowing west at 23 mph. Part I: Express both the velocity of the plane and the velocity of the wind as vectors, using

  3. Physics

    An airplane pilot checks her instruments and finds that the air speed of the plane is 325 km/h. the instruments show that the plane is pointed in a direction (S 30 W). A radio report indicates that the wind velocity is 80 km/h

  4. algebra II

    An aircraft flew 6 hours with the wind. The return trip took 7 hours against the wind. If the speed of the plane in still air is 276 miles per hour more than the speed of the wind, find the wind speed and the speed of the plane in

  1. Math

    Imelda's plane travels at a speed of 350kph in still air. One day, she travels 169km against the wind at the same time it takes to travel 190km with the wind. Find the speed of the wind.

  2. algebra

    A man flies a small airplane from Fargo to Bismarck, North Dakota --- a distance of 180 miles. Because he is flying into a head wind, the trip takes him 2 hours. On the way back, the wind is still blowing at the same speed, so the

  3. Math

    an airplane travels 500 km with the wind in the same time that it takes the airplane to travel 400 km against the wind. the average speed of the plane in still air is 180 km/h. what is the average speed of the wind? Airplane with

  4. math

    A pilot can fly an MD-11 2160 miles with the wind in the same time she can fly 1920 miles against the wind. If the speed of the wind is 30 mph, find the speed of the plane in still air.( Source: Air Transport Association of

  1. Algebra

    A plane can fly 500 miles against the wind in the same amount of time that it can fly 775 miles with the wind. If the wind speed is 55mph, find the speed of the plane in still air.

  2. Algebra

    If a plane can travel 500 miles per hour with the wind 400 miles per hour against the wind, find the speed of the plane without a wind and the speed of the wind? What is the speed of the plane in still air?

  3. math

    Flying with the wind, a plane traveled 570 miles in 3 hours. Flying against the wind, the plane traveled the same distance in 5 hours. Find the rate of the plane in calm air and the rate of the wind. Rate of plane ______mph Rate

  4. Math

    A plane can fly 140 mph in calm air. Flying with the wind, the plane can fly 700 mi in the same amount of time it takes to fly 420 mi against the wind. Whats the rate of the wind?

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