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?

Question

Philoid · Accepted Answer

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.