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A pilot heads his jet due east. The jet has a speed of 475 mi/h relative to the air. The wind is blowing due north with a speed of 35 mi/h. (Assume that the i vector points east, and the j vector points north.) (a) Express the velocity of the wind as a vector in component form. 35j (b) Express the velocity of the jet relative to the air as a vector in component form. 475i (c) Find the true velocity of the jet as a vector. 475i + 35j (d) Find the true speed of the jet. (Round your answer to the nearest integer.) 476 V mi/h Find the direction of the jet. (Round your answer to one decimal place.) N 4.2 x °E

A pilot heads his jet due east. The jet has a speed of 475 mi/h relative to the air. The wind is blowing due north with a speed of 35 mi/h. (Assume that the i vector points east, and the j vector points north.) (a) Express the velocity of the wind as a vector in component form. 35j (b) Express the velocity of the jet relative to the air as a vector in component form. 475i (c) Find the true velocity of the jet as a vector. 475i + 35j (d) Find the true speed of the jet. (Round your answer to the nearest integer.) 476 V mi/h Find the direction of the jet. (Round your answer to one decimal place.) N 4.2 x °E

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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**Problem Statement:** A pilot heads his jet due east. The jet has a speed of 475 mi/h relative to the air. The wind is blowing due north with a speed of 35 mi/h. (Assume that the i vector points east, and the j vector points north.) **Questions:** (a) Express the velocity of the wind as a vector in component form. - **Answer:** \(35\mathbf{j}\) - **Status:** Incorrect (indicated by a red "X") (b) Express the velocity of the jet relative to the air as a vector in component form. - **Answer:** \(475\mathbf{i}\) - **Status:** Incorrect (indicated by a red "X") (c) Find the true velocity of the jet as a vector. - **Answer:** \(475\mathbf{i} + 35\mathbf{j}\) - **Status:** Incorrect (indicated by a red "X") (d) Find the true speed of the jet. (Round your answer to the nearest integer.) - **Answer:** \(476\) mi/h - **Status:** Correct (indicated by a green checkmark) (e) Find the direction of the jet. (Round your answer to one decimal place.) - **Answer:** \(4.2^\circ\) N of E - **Status:** Incorrect (indicated by a red "X")
Transcribed Image Text:**Problem Statement:** A pilot heads his jet due east. The jet has a speed of 475 mi/h relative to the air. The wind is blowing due north with a speed of 35 mi/h. (Assume that the i vector points east, and the j vector points north.) **Questions:** (a) Express the velocity of the wind as a vector in component form. - **Answer:** \(35\mathbf{j}\) - **Status:** Incorrect (indicated by a red "X") (b) Express the velocity of the jet relative to the air as a vector in component form. - **Answer:** \(475\mathbf{i}\) - **Status:** Incorrect (indicated by a red "X") (c) Find the true velocity of the jet as a vector. - **Answer:** \(475\mathbf{i} + 35\mathbf{j}\) - **Status:** Incorrect (indicated by a red "X") (d) Find the true speed of the jet. (Round your answer to the nearest integer.) - **Answer:** \(476\) mi/h - **Status:** Correct (indicated by a green checkmark) (e) Find the direction of the jet. (Round your answer to one decimal place.) - **Answer:** \(4.2^\circ\) N of E - **Status:** Incorrect (indicated by a red "X")
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