Airplane Vector Analysis and Wind Effects

The video tutorial explains how to determine the course deviation and ground speed of an airplane flying north at 700 km/h with a northeast wind at 60 km/h. It models the problem using vectors, calculates the components, adds the vectors, and determines the resultant vector's direction and magnitude. The plane is found to be 3.69 degrees off course, with a ground speed of approximately 658.94 km/h.

What is the initial airspeed of the airplane heading due north?

• 600 kilometers per hour

• 700 kilometers per hour

• 800 kilometers per hour

• 900 kilometers per hour

From which direction is the wind blowing?

• Southwest

• Northeast

• Southeast

• Northwest

What is the magnitude of the wind vector?

• 50 kilometers per hour

• 80 kilometers per hour

• 60 kilometers per hour

• 70 kilometers per hour

What is the horizontal component of the airplane's vector?

• 0

• 60

• 30

• 700

In which quadrant is the resultant vector located?

• First quadrant

• Second quadrant

• Third quadrant

• Fourth quadrant

What is the reference angle used to find the direction angle theta?

• 86.31 degrees

• 90 degrees

• 60 degrees

• 45 degrees

How many degrees off course will the plane fly?

• 4.69 degrees

• 5.69 degrees

• 3.69 degrees

• 2.69 degrees

What is the plane's speed relative to the ground?

• 678.94 kilometers per hour

• 658.94 kilometers per hour

• 668.94 kilometers per hour

• 688.94 kilometers per hour

Why is the plane's speed relative to the ground less than its airspeed?

• The wind is blowing perpendicular to the plane's direction.

• The wind is blowing against the plane.

• The wind is blowing in the same direction as the plane.

• The wind has no effect on the plane's speed.

In which direction does the wind cause the plane to deviate?

• South of due north

• West of due north

• North of due north

• East of due north