Geometry

A pilot is flying at a speed of 300 miles per hour and the wind is blowing due north at 50 miles per hour.What is the magnitude of the resultant velocity of the plane?

  1. 👍
  2. 👎
  3. 👁
  1. depends on which direction the plane is heading. The speed could be anywhere between 250 and 350 mph.

    1. 👍
    2. 👎
  2. 300 mph on what heading?

    Usually you give the direction a wind is coming from, like a North wind caries you south.
    Here do you mean it blows you North?

    In any case use vector components
    North component = 50 + 300 cos A
    East component = 300 sin A
    where A is the heading angle clockwise from north

    magnitude = sqrt(north comp^2+east comp^2)

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. MATH

    An airplane is flying in the direction 148° with an airspeed of u = 865 kilometers per hour. Because of the wind, its groundspeed and direction are v = 780 kilometers per hour and 140°, respectively (see figure in the link

  2. math (pLZ HELP ASAP)

    A train averages a speed of 90 miles per hour across the plains and 37.5 miles per hour through the mountains. If a trip of 300 miles took 3 hour and 48 minutes, how much of it was through the mountains?

  3. trig

    an airplane has an airspeed of 430 miles per hour at a bearing of 135 degrees. the wind velocity is 35 miles per hour in the direction N30degreesE. Find the resultant speed and direction of the plane.

  4. trig

    An airplane is flying in the direction 148° with an airspeed of u = 920 kilometers per hour. Because of the wind, its groundspeed and direction are v = 820 kilometers per hour and 140°, respectively (see figure). Find the

  1. Algebra

    A plane has a cruising speed of 100 miles per hour when there is no wind. At this speed, the plane flew 600 miles with the wind in the same amount of time it flew 400 miles against the wind. Find the speed of the wind.

  2. Math

    A plane is flying with an airspeed of 190 miles per hour and heading 140°. The wind currents are running at 25 miles per hour at 165° clockwise from due north. Use vectors to find the true course and ground speed of the plane.

  3. math

    A airplane crosses the Atlantic Ocean (3000 miles) with an airspeed of 600 miles per hour. The cost C (in dollars) per passenger is given by... C(x)= 150 + x/20 + 36,000/x Where x is the ground speed (airspeed plus or minus wind).

  4. 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?

  1. math

    A pilot can travel 400 miles with the wind in the same amount of time as 336 miles against the wind. Find the speed of the wind if the pilot's speed in still air is 230 miles per hour.

  2. 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

  3. Math

    Amanda can run 4/5 of a mile in nine minutes express her speed as a unit rate in miles per hour 9 4/5 Miles per hour 15 miles per hour 5 1/3 miles per hour 3 1/5 miles per hour

  4. Pre-Cal

    A pilot wishes to fly on course 290 with an air speed of 300 knots when the wind blows from 224 at 18 knots. Find the drift angle to the nearest hundredth of a degree. A.3.22° B.5.07° C.86.86° A river is flowing at the rate of

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