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.)