The nose of an ultralight plane is pointed south, and its airspeed indicator sho

Question

The nose of an ultralight plane is pointed south, and its airspeed indicator shows 26 m/s . The plane is in a 20 m/s wind blowing toward the southwest relative to the earth. You may want to review ( page ) . For help with math skills, you may want to review: Vector Addition Resolving Vector Components For general problem-solving tips and strategies for this topic, you may want to view a Video Tutor Solution of Flying in a crosswind.

A)Letting x be east and y be north, find the components of v P/E (the velocity of the plane relative to the earth)

B)Find the magnitude of v P/E.

C)Find the direction of v P/E

Explanation / Answer

(a) Velocity relative to earth is the sum of
-26 m/s y + 20 m/s (- x/sqrt(2) - y/sqrt(2)),
where x and y are unit vectors in the east and north directions.
v = - 14.14 m/s x + -40.14 m/s y

(b) sqrt(14.14^2 + 40.14^2) = 42.55 m/s

(c) arctan (40.14/14.14) = 70.59.0 degrees south of west

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.