Do images move faster than objects?

[Violagirl]

Homework Statement

A cat sees its image in a plane mirror. The cat is 1 m from the mirror. A) Where is the image? B) The cat lunges at the mirror at 2 m/s. How fast does the cat approach its image?

The Attempt at a Solution

I understand that for a, the image would also be 1 m away from the mirror. I thought this would be the case for 2B too, that the image would move as fast as the object was found its image would actually move 4 m/s. I don't understand why this would be the case...Any input on this would be appreciated.

 

[Enigman]

The image indeed moves with 2 m/s but with respect to the mirror. So what is the relative velocity between cat and its image?

 

[Bryson]

The cat is moving toward the mirror cat, and the mirror cat is moving toward the cat. Think of it as two cars about to collide.