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…

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 $\displaystyle \mathrm{R}=2 \mathrm{~m}$. Another car approaches him from behind with a uniform speed of $\displaystyle 90$ km/hr. When the car is at a distance of $\displaystyle 24$ m from him, the magnitude of the acceleration of the image of the car in the side view mirror is 'a'. The value of 100a is $\displaystyle \_\_\_\_$ $\displaystyle \mathrm{m} / \mathrm{s}^2$.