A person examines the image of his face in a flat mirror, bringing the mirror closer to him
| May 27, 2021 | education
A person examines the image of his face in a flat mirror, bringing the mirror closer to him at a speed of 7 cm / s. How fast is the face image moving?
given
flat mirror
the speed of approach of the mirror to the face is 7 cm / s
find the speed of a face image
decision
consider the image
the image is flat because the mirror is flat
The distance from the image to the mirror changes at the same speed as the object from the mirror.
hence it follows that the image of the face relative to the face moves twice as fast as the mirror from the face.
thus we get that the speed of the face image relative to the face in a flat mirror is 2 * 7 cm / s = 14 cm / s
answer: 14 cm / s
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