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Inquiry into Physics

8th Edition
Ostdiek
ISBN: 9781337515863
Textbook Problem

(Indicates a review question, which means it requires only a basic understanding of the material to answer. Questions without this designation typically require integrating or extending the concepts presented thus far.)

A wind is blowing from the north (the air is moving toward the south). When a person is walking toward the north, is the relative speed of the wind that the person senses greater than, the same as, or less than the speed the person senses when not walking? How about when the person is walking toward the south?

To determine

The explanation of relative velocity of wind with respect to a person at rest when another person walks towards the motion of wind and when the same person walks opposite to the motion of the wind.

Explanation

Formula used:

Relative velocity of A with respect to B = vAB=vAvB.

Calculation:

Initially, that person moves towards north and wind blowing towards south. For the sense of direction, we take north as positive and south as negative.

Velocity of person = vp

Velocity of wind = vw

Relative velocity of wind with respect to walking person = vwp=vw(vp)=vw+vp

Velocity of wind with respect to the person who is standing = vw

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