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An airplane is on a course of 200° with a velocity of 350 mph, the plane encounters a 55 mph wind blow to the east. First draw a diagram of this Then find the planes velocity with the wind And what is the planes bearing?

An airplane is on a course of 200° with a velocity of 350 mph, the plane encounters a 55 mph wind blow to the east. First draw a diagram of this Then find the planes velocity with the wind And what is the planes bearing?

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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**Problem Statement:** An airplane is on a course of 200° with a velocity of 350 mph. The plane encounters a 55 mph wind blown to the east. **Task:** 1. First, draw a diagram of this situation. 2. Then, find the plane's velocity with the wind. 3. Determine the plane's bearing. **Explanation:** - **Diagram:** Begin by drawing a vector representing the airplane's course at 200° with a magnitude of 350 mph. Then draw a vector representing the wind, directed east, with a magnitude of 55 mph. These vectors will visually demonstrate the problem setup. - **Velocity with Wind:** Use vector addition to calculate the resultant velocity vector by combining the airplane's velocity vector and the wind's velocity vector. - **Bearing:** Determine the actual direction or angle of the resultant velocity vector to find the new bearing of the airplane.
Transcribed Image Text:**Problem Statement:** An airplane is on a course of 200° with a velocity of 350 mph. The plane encounters a 55 mph wind blown to the east. **Task:** 1. First, draw a diagram of this situation. 2. Then, find the plane's velocity with the wind. 3. Determine the plane's bearing. **Explanation:** - **Diagram:** Begin by drawing a vector representing the airplane's course at 200° with a magnitude of 350 mph. Then draw a vector representing the wind, directed east, with a magnitude of 55 mph. These vectors will visually demonstrate the problem setup. - **Velocity with Wind:** Use vector addition to calculate the resultant velocity vector by combining the airplane's velocity vector and the wind's velocity vector. - **Bearing:** Determine the actual direction or angle of the resultant velocity vector to find the new bearing of the airplane.
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