Calculus - URGENT EXAM

posted by .

I HAVE AN EXAM REVIEW QUESTION AND I REALLY NEED HELP.

An airplane has an air speed of 330km/h and is heading in a direction of N30E when it encounters a wind from the north. The resultant ground velocity has a direction of N40E. How long does it take for the plane to travel 960km.

  • Calculus - URGENT EXAM -

    Did you make a diagram?
    My vector diagram has angles 10°, 30°, and 140° with the longest sides as 330.
    so the side across the 30° represents the ground velocity of the plane, let it be x
    By the sine law
    x/sin30 = 330/sin140
    x = 256.69
    so the actual groundspeed is 269.69 km/h, then to go 960 km would take
    960/269.69 hours or 3.74 hours
    or 3 hours and 44 minutes and 23.5 seconds

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  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?
  2. calculus III

    What heading (or direction) and airspeed (speed in still air) are required for an airplane to fly 837 mph due north if a wind of 63 mph is blowing in the direction of S 11.5 degrees E?
  3. calculus iii

    What heading (or direction) and airspeed (speed in still air) are required for an airplane to fly 837 mph due north if a wind of 63 mph is blowing in the direction of S 11.5 degrees E?
  4. CALCULUS EXAM REVIEW

    Hi, my exam is tomorrow and I'm here with my girlfriend who's also in the same class trying to figure out how to do the exam review but we're stuck.. please be kind and help us out, we'd really appreciate it. Thank you in advance. …
  5. physics

    An aircraft is flying at the speed of 354km/hr relative to the air is observed from the ground to have a velocity of 300km/hr in the north east direction. The wind is blowing from east. Find the speed of the wind and the direction …
  6. physics

    A pilot wants the heading of an airplane to be 45º east of north. The wind is from 270º at 32 km/h, and the speed of the airplane through the air is 320 km/h. The pilot should maintain a heading of approximately?
  7. trig

    An airplane has air speed of 540 mph and a heading of 50*. The wind is blowing from the north at 27 mph. Find the plane's ground speed and course direction.
  8. calculus

    Multiple choice: An airplane flying due east at 539 mph in still air, encounters a 61-mph tail wind acting in the direction 45 degrees north of east. The airplane holds its compass heading but because of the wind acquires a new ground …
  9. Calculus

    An airplane is heading due east with an airspeed of 220km/h when it encounters a wind from the south at 76km/h. What is the direction of the resultant velocity of the airplane The answer is E19.06°N but I don't know how
  10. math

    An airplane is flying from Montreal to Vancouver. The wind is blowing from the west at 60km/hour. The airplane flies at an airspeed of 750km/h and must stay on a heading of 65 degrees west of north. A) what heading should the pilot …

More Similar Questions