Question

A pilot heads his jet due east. The jet has a speed of 450 mi/h relative to the air. The wind is blowing due north with a speed of 40 mi/h

(a) Express the velocity of the wind as a vector in component form, and write the vector in terms of the vectors i and j.

(b) Express the velocity of the jet relative to the air as a vector in component form, and write the vector in terms of the vectors i and j.

(c) Find the true velocity of the jet as a vector, and write the vector in terms of the vectors i and j.

(d) Find the true speed of the jet. (Round your answer to the nearest integer.)

Answer 1

Wx = 40 cos 90 = 0
Wy = 40 sin 90 = 40
-> W = sqrt ( 40^2) = 40 km
Thus W = < 0, 40 > = 40 j

Similarly for the velocity of the Jet relates to the air....