Two planes fly from toronto to
philadelphia. Plane a flies via pittsburgh whereas passenger on plane B have a direct flight. Pittsburgh is 350km due south of Toronto and 390km due west of Philadelphia. The airspeed of both planes is 400km/h and a steady wind is blowing from the east at 60km/h

a) What direction must the pilot point the plane flying from toronto to pittsburgh?

b) How long will the entire flight take for plane A assuming a 0.50-h layover in pittsburgh?

c) How mich time must the pilot of plane B wait before leaving toronto if she is to arrive in philadelphia at the same time plane A arrives?

(wat i really need is how to draw the diagram for the first question and how to get started for the rest of the questions and i can take it from there)

  1. 👍
  2. 👎
  3. 👁
  1. a) The "airspeed" vector has a magnitude of 400 km/h and a direction in which the pilot points the plane (which is what they are asking you to calculate). The wind velocity vector has magnitude 60 km/h and direction TOWARD the west. The ground velocity vector of the plane going to Piitsburgh has a direction due south. It is the sum of the airspeed and windspeed vectors. You have two sides and one angle of the vector-addition triangle, so can solve for all unknowns.

    b) Get the ground speed of the Pittsburhg leg of the trip from the vector triangle opf the last problem. Divide 350 km by that speed for the elapsed time. For the leg of the trip to Philly, the ground speed is just 400 - 60 = 340 km/h. Compute the elapsed time for that leg, and add the first leg elapsed time plus 0.5 hours.

    c) Compute the travel time for the direct flight using the same method to get the ground velocity vector. You know its direction already. Compare that to the answer in (b) to get the required waiting time before takeoff.

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. maths

    Two planes leave an airport flying at the same rate.If the first plane flies 1.5 hours longer than the second plane and travels 2700 miles while the second plane travels only 2025 miles, for how long was each plane flying?

  2. Math

    1. Plane hkp and plane rkp are two distinct planes. name the intersection of the plane hkp and plane rkp. A) Ray KP B) Ray HK C) Ray RP D) The planes need not intersect. Is the answer A? Please correct me if I am wrong. Thank you!

  3. math

    Two aeroplanes fly eastwards on parallel courses 12 miles apart. One flies at 240 m.p.h. and the other at 300 m.p.h. How fast is the distance between them changing when the slower plane is 5 miles farther east than the faster

  4. ELA

    Which sentence from the passage contains information that could best be used to create a yearbook blurb about Amelia Earhart? A. As Amelia approached her fortieth birthday, she was planning her biggest trip yet. B. Sadly,

  1. Physics

    a novice pilot sets a plane's controls, thinking the plane will fly at 2.5X10^2 km/h to the north. if the wind blows at 75 km/h toward the southeast, what is the planes's resultant velocity?

  2. Math Trigonometry

    A plane flies in a direction of 85° from Chicago. It then turns and flies in the direction of 200° for 150 miles. It is then 195 miles from its starting point. How far did the plane fly in the direction of 85°? I am confused

  3. Calc.

    An air ambulance is travelling from Barrie to Toronto. Toronto is located 90 km [S5°E] of Barrie. If the wind is blowing from the South with a velocity of 62 km/h, and the plane’s air speed is 375 km/h, what direction must the

  4. math

    Two planes leave simultaneously from Chicago's O'Hare Airport, one flying due north and the other due east. The northbound plane is flying 50 miles per hour faster than the eastbound plane. After 3 hours the planes are 2840 miles

  1. Calculus

    An air ambulance is travelling from Barrie to Toronto. Toronto is located 90 km [S5°E] of Barrie. If the wind is blowing from the South with a velocity of 62 km/h, and the plane’s air speed is 375 km/h, what direction must the

  2. Math

    A plane flies 120km on a bearing of 045 degree and then flies 150km due east. How far east of the starting point is the plane?

  3. Physics

    A plane leaves Toronto and flies with an airspeed of 2.20 x 10^2 km/h always pointing due east. A wind is blowing from the north at 8.0 x 10^1 km/h. a) What is the plane's velocity relative to the ground? b) What is the plane's

  4. math, trigonometry

    a plane starts from a point P and flies 240km on a bearing of 120degrees to Q. At Q the plane makes a 90degree turn and flies back 100km on a bearing of 210degrees to R. At R the plane again changes direction and flies back to P.

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