A pilot sets the plane due north, but flies at a speed with respect to air given by Vpa = 425 km/h. A wind is blowing at Vwg = 41 km/h with respect to the ground at an angle of 50° south of due east. What is the speed of the plane with respect to the ground, Vpg? (A) 473.4 km/h (B) 315.6 km/h (C) 392.8 km/h (D) 552.3 km/h (E) 157.8 km/h
A pilot sets the plane due north, but flies at a speed with respect to air given by Vpa = 425 km/h. A wind is blowing at Vwg = 41 km/h with respect to the ground at an angle of 50° south of due east. What is the speed of the plane with respect to the ground, Vpg? (A) 473.4 km/h (B) 315.6 km/h (C) 392.8 km/h (D) 552.3 km/h (E) 157.8 km/h
University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter2: Vectors
Section: Chapter Questions
Problem 51P: In an attempt to escape a desert island, a castaway builds a raft and sets out to sea. The wind...
Related questions
Concept explainers
Topic Video
Question
![A
pilot sets the plane due north, but flies at a speed with respect to air given by Vpa = 425 km/h. A wind is blowing
at Vwg = 41 km/h with respect to the ground at an angle of 50° south of due east. What is the speed of the plane with
respect to the ground, Vpg?
(A) 473.4 km/h
(B)
315.6 km/h
(C)
392.8 km/h
552.3 km/h
157.8 km/h
(D)
(E)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F86624ab7-da2a-4a5b-91b8-0bf4ad8ab366%2Ffba0b2a2-7f81-4dae-9e57-39785167823e%2Ftznmn_processed.png&w=3840&q=75)
Transcribed Image Text:A
pilot sets the plane due north, but flies at a speed with respect to air given by Vpa = 425 km/h. A wind is blowing
at Vwg = 41 km/h with respect to the ground at an angle of 50° south of due east. What is the speed of the plane with
respect to the ground, Vpg?
(A) 473.4 km/h
(B)
315.6 km/h
(C)
392.8 km/h
552.3 km/h
157.8 km/h
(D)
(E)
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
Step 1
Given that,
The speed of the plane with respect to air is
The speed of the wind is
The wind is blowing with respect to the ground at an angle of south of due east.
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Recommended textbooks for you
![University Physics Volume 1](https://www.bartleby.com/isbn_cover_images/9781938168277/9781938168277_smallCoverImage.gif)
University Physics Volume 1
Physics
ISBN:
9781938168277
Author:
William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:
OpenStax - Rice University
![University Physics Volume 1](https://www.bartleby.com/isbn_cover_images/9781938168277/9781938168277_smallCoverImage.gif)
University Physics Volume 1
Physics
ISBN:
9781938168277
Author:
William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:
OpenStax - Rice University