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Chapter 13: Problem 21

If you walk \(1.2 \mathrm{m} / \mathrm{s}\) toward a flat mirror, how fast does your image move with respect to the mirror? In what direction does your image move with respect to you?

Short Answer

Expert verified
The image moves at \(1.2 m/s\) with respect to the mirror, in the opposite direction from the person's movement. From the person's perspective, the image appears to be moving backward (deeper into the mirror).

Step by step solution

01

Understand the Mirror's perspective

When a person approaches a flat mirror at a certain speed, their image in the mirror does the same but in the opposite direction. Here, the person is walking toward the mirror at a speed of \(1.2 m/s\). Therefore, the image in the mirror will also be moving at the same speed but in the opposite direction. Here, opposite direction means that while the real person is moving forward, the image seems to be moving backward (deeper into the mirror).
02

Determine the speed of the image with respect to the mirror

As stated above, since the person and the image move at the same speed, the image moves at \(1.2 m/s\) with respect to the mirror.
03

Determine the direction of the image with respect to the person

The image moves in the opposite direction as perceived by the person. So while the real person is moving forward (toward the mirror), their image seems to be moving backward (away from the person, deeper into the mirror).

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