Main Question or Discussion Point
If you are running towards a mirror at 5m/sec, at what speed is your reflection moving towards you?
If you are 2 m in front of the mirror, your image is 2 m behind the mirror. If you are 1 m in front of the mirror, your image is 1 m behind the mirror. In either case you can locate it geometrically using the law of reflection of light rays and some ray tracing and simple geometry. These distances have real physical implications. If you use a camera with manual focusing to take a picture of your own image in the mirror, you need to set the focusing control for a distance of 4 m or 2 m respectively.the image itself does not actually move forward or backward.
You are far and away more educated than I, but I just can't agree with that. The image is merely a manipulation of light by a fixed object. Any 'movement' is essentially an illusion. Assuming that the mirror is incapable of motion, the image 'trapped within it' is equally motionless.When you change position, your image changes position, which I would consider to be "moving."