Physics Question from JEE Main 2025 · 22 January, Shift 1

The driver sitting inside a parked car is watching vehicles approaching from behind with the help of his side view mirror, which is a convex mirror with radius of curvature $R = 2 \, \text{m}$. Another car approaches him from behind with a uniform speed of $90 \, \text{km/hr}$. When the car is at a distance of $24 \, \text{m}$ from him, the magnitude of the acceleration of the image of the side view mirror is $a$. The value of $100a$ is _____ $\text{m/s}^2$.