The person moves away from the mirror at a speed of 0.5 m / s. How fast does the image move away from the person?

Since the condition of our example does not specifically specify the curvature of the mirror, we will assume that the mirror is flat.

This mirror doubles the distance between the object and its reflection. As far as the object is away from the mirror, so is the reflection away from it from its “looking-glass” side.

If the object begins to move away from the mirror, then its reflection will also move away from it in the same way.

Consequently, they will diverge from each other at twice the speed.

Therefore, the image of a person will move away from him at a speed of 0.5 m / s * 2 = 1 m / s.