Final answer:
The final image distance from the plane mirror will be 1008cm, identical to the object's new position after being moved away from the mirror by 8cm.
Step-by-step explanation:
In the scenario described, where an object is initially placed 10m (or 1000cm) in front of a plane mirror and then moved 8cm farther away, the distance of the object from the mirror becomes 1008cm. Because a plane mirror creates an image that is an equal distance behind the mirror as the object is in front of it, the final image distance from the mirror will also be 1008cm. This is due to the Law of Reflection, which states that the angle of incidence equals the angle of reflection, resulting in the image distance mirroring the object distance.