To understand the behavior of an image formed by a concave mirror when the object accelerates towards the mirror, it's important to use the mirror formula and the properties of concave mirrors.

Mirror Formula: The mirror formula is given by:

\(\frac{1}{f} = \frac{1}{v} + \frac{1}{u}\)

Where:

• \(f\) is the focal length of the mirror.
• \(v\) is the image distance from the mirror.
• \(u\) is the object distance from the mirror.

Assuming the object starts beyond the center of curvature (which is 2f for a concave mirror) and moves towards the mirror, let's analyze the scenario with respect to the image:

1. When the object is at a distance greater than twice the focal length (\(u > 2f\)), the image is formed between the focal point (\(f\)) and the center of curvature (\(2f\)).
2. As the object moves closer to the mirror (decreasing \(u\)), the image distance \(v\) increases, and the image itself moves away from the mirror, between the center of curvature and beyond.
3. Since the object is accelerating towards the mirror, the change in distance per unit time increases. Hence, the rate of change of the image’s position also increases. In other words, the image accelerates away from the focus towards the center of curvature.

Thus, based on this analysis, we can conclude that the image will indeed accelerate towards the center of curvature as the object accelerates towards the mirror.

Correct Answer: The image will accelerate towards the centre of curvature.