If an object far away from a convex mirror moves towards the mirror, the image also moves. Does it move faster, slower or at the same speed as compared to the object?

we know that, the mirror equation is, . Now, for convex mirror, object distance is negative and image distance and focal length is positive. So, taking only magnitudes, we get the formula as, .

So, as it is only magnitude, so, . So, .

So, the image formed is in between pole and focus. Hence, distance moved by image is much slower than the object.