physics

posted by .

A jetliner can fly 5.57 hours on a full load of fuel. Without any wind it flies at a speed of 2.43 x 102 m/s. The plane is to make a round-trip by heading due west for a certain distance, turning around, and then heading due east for the return trip. During the entire flight, however, the plane encounters a 49.9-m/s wind from the jet stream, which blows from west to east. What is the maximum distance (in kilometers) that the plane can travel due west and just be able to return home?

  • physics -

    Vp = 243m/s * (1/1000)km/m * 3600s/h =
    875km/h. = Velocity of plane.

    Vw = 49.9m/s * (1/1000)km/m * 3600s/h =
    180km/h = Velocity of the wind.

    d1 = d2,
    (875-180)t = (875+180)(5.57-t),
    695t = 1055(5.57-t),
    695t = 5876.35 - 1055t,
    695t + 1055t = 5876.35,
    1750t = 5876.35,
    t = 3.36h.

    d = Vt = 695 * 3.36 = 2334km.,max.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. math

    Matt and Anna are frequent fliers on Fast n Go Airplanes. They often fly between two cities that are a distance of 1680 miles apart. On one particular trip, they flew into the wind and the trip took 4 hours. the return trip with the …
  2. MATH

    Matt and Anna are frequent fliers on Fast n Go Airplanes. They often fly between two cities that are a distance of 1680 miles apart. On one particular trip, they flew into the wind and the trip took 4 hours. the return trip with the …
  3. Physics

    A jetliner can fly 6.50 hours on a full load of fuel. Without any wind it flies at a speed of 2.15 102 m/s. The plane is to make a round-trip by heading due west for a certain distance, turning around, and then heading due east for …
  4. Trig

    This has to do with vectors...I'm wondering if I set up the diagram correctly?
  5. Trig

    A plane has a speed of 250mph and flies with a bearing of N35degE. The wind is blowing from the west at 25 mph with a heading of due east. What is the actual speed and heading of the plane?
  6. Physics

    An airplane needs to fly due south. The plane can fly at a speed of 720.0 km/hr in still air. If there is a wind blowing to the northeast at 70.0 km/hr, in what direction should the plane fly to maintain its heading of due south?
  7. Algebra

    How do you sole the problem below? Kevin flies a plane against a headwind for 5600 miles. The return trip with the wind took 10 hours less time. If the wind speed is 5 mph, how fast does Kevin fly the plane when there is no wind?
  8. Math I Have no idea PlEASE help me

    Wind can affect the speed of an airplane. Suppose a plane is flying round-trip from New York City to San Francisco.The plane has a cruising speed of 300 miles per hour.The wind is blowing from west to east at 30 miles per hour. When …
  9. Physics 11

    An airplane flies at 500km/hr, there is a wind kf 50.0km/h(N).if the pilot wants to fly due east, calculate the direction that the plane is heading. Thanks.
  10. Math

    A commuter plane flies from City A to City B, a distance of 90 mi due north. Due to bad weather, the plane is redirected at take-off to a heading N 60° W (60° west of north). After flying 57 mi, the plane is directed to turn northeast …

More Similar Questions