A convex mirror used as a rear-view mirror in a car has a focal length of 0.50m. A truck is travelling directly behind the car along the principal axis of the mirror at a distance of 1.5m from the mirror.
(i) Determine the position of the image of the truck formed by the mirror.
(ii) Calculate the magnification produced.
(iii) Explain briefly how the sign and magnitude of the magnification influence the driver’s perception of the size and distance of the truck.