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images of the plane mirror and the convex mirror

Suppose you walk with a speed of 1.20 m/s toward a plane mirror. What is the speed of your image relative to you, when your velocity is
(a) perpendicular to the mirror and
(b) at an angle of 45.0° with respect to the normal to the mirror?

Convex mirrors are being used to monitor the aisles in a store. The mirrors have a radius of curvature of 4 m.
(a) What is the image distance if a customer is 19 m in front of the mirror?
(b) If a customer is 1.7 m tall, how tall is the image?

Solution Preview

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Suppose you walk with a speed of 1.20 m/s toward a plane mirror. What is the speed of your image relative to you, when your velocity is

(a) perpendicular to the mirror and
Suppose you start 2.4 meters away from the mirror. Then the distance between you and your image is 2*2.4 = 4.8 meters. After one second of walking, you will be (2.4-1.2) = 1.2 meters away from the mirror and your image will be 1.2 meters behind ...

Solution Summary

It finds the images of the plane mirror and the convex mirror, respectively. The solution is detailed and well presented.

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