At time 𝑡 = 0, a disk of radius 1 m starts to roll without slipping on a horizontal plane with an angular acceleration of 𝛼 = � � 𝑟𝑎𝑑 𝑠��. A small stone is stuck to the disk. At 𝑡 = 0, it is at the contact point of the disk and the plane. Later, at time 𝑡 = √𝜋 𝑠, the stone detaches itself and flies off tangentially from the disk. The maximum height (in m) reached by the stone measured from the plane is � � + � �� . The value of x is _____. [Take 𝑔 = 10 𝑚 𝑠��.]