A jumbo jet maintains a constant airspeed of 450 miles per hour (mi/hr) headed due north. The jet stream is 110 mi/hr in the northeaster (a) Express the velocity v, of the jet relative to the air and the velocity vw of the jet stream in terms of i and j. (b) Find the velocity of the jet relative to the ground. (c) Find the actual speed and direction of the jet relative to the ground. .... (a) Find va- (Simplify your answer. Type your answer in the form ai + bj. Type an exact answer, using radicals as needed.) Find vw (Simplify your answer. Type your answer in the form ai + bj. Type an exact answer, using radicals as needed.) (b) Find the velocity of the jet relative to the ground. Va (Simplify your answer. Type your answer in the form ai + bj. Type an exact answer, using radicals as needed.) (c) Find the actual speed and direction of the jet relative to the ground

Elementary Algebra
17th Edition
ISBN:9780998625713
Author:Lynn Marecek, MaryAnne Anthony-Smith
Publisher:Lynn Marecek, MaryAnne Anthony-Smith
Chapter8: Rational Expressions And Equations
Section8.9: Use Direct And Inverse Variation
Problem 496E: If v varies directly as w and v=21 , when w=8 . find the equation that relates v and w.
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A jumbo jet maintains a constant airspeed of 450 miles per hour (mi/hr) headed due north. The jet stream is 110 mi/hr in the northeasterly direction.
(a) Express the velocity v, of the jet relative to the air and the velocity vw of the jet stream in terms of i and j.
(b) Find the velocity of the jet relative to the ground.
(c) Find the actual speed and direction of the jet relative to the ground.
.....
(a) Find va:
Va
(Simplify your answer. Type your answer in the form ai + bj. Type an exact answer, using radicals as needed.)
Find vw
Vw
(Simplify your answer. Type your answer in the form ai + bj. Type an exact answer, using radicals as needed.)
(b) Find the velocity of the jet relative to the ground.
Va =
(Simplify your answer. Type your answer in the form ai + bj. Type an exact answer, using radicals as needed.)
(c) Find the actual speed and direction of the jet relative to the ground.
The jet is travelling at
mi/hr relative to the ground, in the direction
(Round to one decimal place as needed.)
Transcribed Image Text:A jumbo jet maintains a constant airspeed of 450 miles per hour (mi/hr) headed due north. The jet stream is 110 mi/hr in the northeasterly direction. (a) Express the velocity v, of the jet relative to the air and the velocity vw of the jet stream in terms of i and j. (b) Find the velocity of the jet relative to the ground. (c) Find the actual speed and direction of the jet relative to the ground. ..... (a) Find va: Va (Simplify your answer. Type your answer in the form ai + bj. Type an exact answer, using radicals as needed.) Find vw Vw (Simplify your answer. Type your answer in the form ai + bj. Type an exact answer, using radicals as needed.) (b) Find the velocity of the jet relative to the ground. Va = (Simplify your answer. Type your answer in the form ai + bj. Type an exact answer, using radicals as needed.) (c) Find the actual speed and direction of the jet relative to the ground. The jet is travelling at mi/hr relative to the ground, in the direction (Round to one decimal place as needed.)
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