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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?

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If the object is far away from a convex mirror the virtual image is near the focus. As the object moves towards the mirror the image moves towards the back of the mirror. So in an equal interval of time, the object moves a larger distance than the image. So the image moves slower than the object.

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