Question

You are traveling on an airplane. The velocity of the plane with respect to the air...

You are traveling on an airplane. The velocity of the plane with respect to the air is 190 m/s due east. The velocity of the air with respect to the ground is 33 m/s at an angle of 30° west of due north.

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

2.How far east will the plane travel in 1 hour?

Homework Answers

Answer #1

velocity of the plane with respect to the air v = 190 i
velocity of the air with respect to the ground v' = - 33 * cos(30) i + 33 sin(30) j
velocity of the air with respect to the ground v' = - 28.58 i + 16.5 j

1)
The velocity of the plane with respect to the ground v " = v + v ' = 161.42 i + 16.5 j
tan^-1(16.5/161.32)
Heading of plane = 5.84 0 north of East

2)
Distance = speed * time
Speed in east = 161.42 m/s
Distance = 161.42 * 1 * 60 *60 m
Distance = 581112 m

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