The kinetic energy energy K of a particle of mass 'm' moving along a circle of radius 'R' depends on distance covered 'S' as $K =AS^2$. Then the acceleration of particle is given by :

Question

$\begin {array} {1 1} (1)\;\large\frac{2AS}{m} \bigg( 1+ \large\frac{S^2}{R^2} \bigg) ^{\large\frac{1}{2}} & \quad (2)\;\large\frac{2AS}{m} \bigg( 1- \large\frac{S^2}{R^2} \bigg) ^{\large\frac{1}{2}} \\ (3)\;\large\frac{2AS^2}{mR} & \quad (4)\;\large\frac{2AS^2}{m} \end {array}$