45° х х

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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On the map, let the +x-axis point east and the +y-axis north. An airplane flies at 880 km/h northwestward direction (i.e., midway between north and west). Can you help me visualize the components of the first velocity, and when the plane flies due south at the same velocity. 

I understand the answer will be -622.25 for the run, meaning 880*cos(45) for x -axis; the y axis north is 880*sin(45) resulting in 622.5

Please help me visualize the first and second velocity when the plane flies due south at the same velocity?  Help me to visualize where one of the velocities due south is zero, and the other is whatever it is.

 

I am afraid I can properly visualize or understand in simple terms what is asked.  My point can you help to understand the right angle theorem to the angle.

45°
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Transcribed Image Text:45° х х
Expert Solution
Step 1

Draw the diagram of the velocity components with proper labeling.

Physics homework question answer, step 1, image 1

Step 2

To reach to the components of the velocity along x-direction and y-direction. Use the right-angle triangle properties and the trigonometrical identity, and solve as:

Physics homework question answer, step 2, image 1

Step 3

Therefore, the component along x-direction and y-direction is:
Physics homework question answer, step 3, image 1

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