# A wheel of radius 0.5 m rolls without sliding on a horizontal surface, starting from rest, the wheel moves with constant acceleration $6\: rad/s^2$ . The distance travelled by the centre of the wheel from $t = 0 \: to \: t=3s$ is :

$\begin {array} {1 1} (1)\;27\: m & \quad (2)\;13.5\: m \\ (3)\;18\: m & \quad (4)\;Zero \end {array}$

(2) 13.5 m