A jet is flying through a wind that is blowing with a speed of 45 mi/h in the direction N 30° E (see the figure). The jet has a speed of 770 mi/h relative to the air, and the pilot heads the jet in the direction N 45° E. (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. (Round your answer to two decimal places.) (d) Find the true speed of the jet. (Round your answer to the nearest integer.) Find the direction of the jet. (Round your answer to the nearest integer.)
A jet is flying through a wind that is blowing with a speed of 45 mi/h in the direction N 30° E (see the figure). The jet has a speed of 770 mi/h relative to the air, and the pilot heads the jet in the direction N 45° E.
(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. (Round your answer to two decimal places.)
(d) Find the true speed of the jet. (Round your answer to the nearest integer.)
Find the direction of the jet. (Round your answer to the nearest integer.)
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