# PHYSICS

posted by .

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)

• PHYSICS -

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.

• PHYSICS -

k

## Similar Questions

1. ### 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?
2. ### 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 pilot …
3. ### Math

I need help with this problem: Two planes start from Los Angeles International Airport and fly in opposite directions. The second plane starts ½ hour after the first plane, but its speed is 80 kilometers per hour faster. Find the …
4. ### 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 pilot …
5. ### physics

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 …
6. ### MATH.... HELP

Toronto and Vancouver are 3150km apart. A plane cruises at about 850km/hour. At this rate about how long (in hours and minutes) will it take to fly to Vancouver from Toronto?
7. ### Pre Calc

A plane (A) heading south at 120 mph and a plane (B) heading west at 600 mph are rlying tword the same point at the same altitude. Plane A is 100 miles from the point where the flight patterns intersect and plane B is 550 miles from …
8. ### math

a plane leaves Vancouver headed for Toronto of a speed of 700 km/hr. Half an hour later a planes leaves toronto headed to vancouver travelling at a spped of 750 km/hr. the distance between vancouver and toronto is 3420 kn. How long …
9. ### Math

Two planes leave New Orleans at the same time. Plane A heads north and Plane B heads south. After 4 hours and 15 minutes, the two planes are 4568.75 miles apart. Also, Plane A is traveling 53 mph faster than Plane B. At what speeds …
10. ### physics

Two planes are initially separated by a horizontal distance of 350 km. Plane A is positioned 350 km west of the Plane B. Plane A is initially traveling at a velocity of 60 m/s east. Plane B is traveling at a velocity of 45 m/s west. …

More Similar Questions