# physics

You are traveling on an airplane. The velocity of the plane with respect to the air is 180 m/s due east. The velocity of the air with respect to the ground is 40 m/s at an angle of 30° west of due north.

1)What is the speed of the plane with respect to the ground?

2)What is the heading of the plane with respect to the ground? (Let 0° represent due north, 90° represents due east)?

3)How far east will the plane travel in 1 hour?

1. 👍 0
2. 👎 0
3. 👁 7,498
1. 1. Vpa = 180m/s. @ 0 deg.
Vag = 40m/s @ 120 deg,CCW.

Vpg = Vpa + Vag,
Vpg = (180 + 40cos120) + i40sin120,
Vpg = 160 + i34.64,
Vpg=sqrt((160)^2 + (34.64)^2)=163.7m/s.

2. tanA = Y / X = 34.64 / 160 = 0.2165,
A = 12.2 deg,CCW. = 12.2deg. North of
East.

3. 1 hr = 3600s.
d = Vt = 163.7m/s * 3600s = 589,320m.

1. 👍 1
2. 👎 0
2. Last answer is wrong, but thanks for the first two.

1. 👍 2
2. 👎 0
3. For the distance you'll have to make a right triangle and solve for the missing side (x). Since the plane isn't traveling directly in the east direction it wont be exactly the m/s multiplied by one hour.

1. 👍 1
2. 👎 0

## Similar Questions

1. ### physics

You are on an airplane traveling 30° south of due west at 130.0 m/s with respect to the air. The air is moving with a speed 31.0 m/s with respect to the ground due north. 1) What is the speed of the plane with respect to the

2. ### Physics

A plane can travel with a speed of 80 mi/hr with respect to the air. Determine the resultant velocity of the plane (magnitude only) if it encounters a: 10 mi/hr cross wind; 60 mi/hr cross wind; 10 mi/hr tailwind; 10 mi/hr

3. ### 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

4. ### physics

To take off from the ground, an airplane must reach a sufficiently high speed. The velocity required for the takeoff, the takeoff velocity, depends on several factors, including the weight of the aircraft and the wind velocity.

1. ### Physics

A skydiver is jumping from an airplane traveling at 10.0 m/s. The plane is 3520 m above the earth. The sky diver pulls his cord at 1760 m above the earth. Neglecting air resistance, how far does the skydiver travel horizontally

2. ### Physics

The drawing shows an airplane moving horizontally with a constant velocity of 115 m/s at an altitude of 1050 m. The direction to the right has been chosen as the +x direction, and upward is the +y direction. The plane releases a

3. ### physics

Air streams horizontally past a small airplane's wings such that the speed is 70.0m/s over the top surface and 60.0m/s past the bottom surface. If the plane has a wing area of 16.2m^2 on the top and on the bottom, what is the net

An airplane traveling north at 400 m/s is accelerated due east at a rate of 50 m/s2 for 6 s. If the effects of air resistance and gravity are ignored, what is the final speed of the plane?

1. ### Math

An airplane's velocity with respect to the air is 580 miles per hour, and it is heading N 60 degrees W. The wind, at the altitude of the plane, is from the southwest and has a velocity of 60 miles per hour. What is the true

2. ### Physics

You are traveling on an airplane. The velocity of the plane with respect to the air is 140 m/s due east. The velocity of the air with respect to the ground is 34 m/s at an angle of 30° west of due north. 1)What is the speed of

3. ### physics

The velocity of a 2.5 kg block sliding down a frictionless inclined plane is found to be 1.58 m/s. 1.40 s later, it has a velocity of 7.32 m/s. What is the angle of the plane with respect to the horizontal (in degrees)?

4. ### Physics

You are traveling on an airplane. The velocity of the plane with respect to the air is 110.0 m/s due east. The velocity of the air with respect to the ground is 39.0 m/s at an angle of 30° west of due north. 1) What is the speed