At time t=0 ,a disk of radius 1 m starts to roll without slipping on a horizontal plane with and angular acceleration of ` alpha = 2/3 "rad "s^(-2)` . A small stone is stuck to the disk At. T=0 , it is at the contact point of the disk and the plate . Later at time `t=sqrt(pi )s `. the stone detaches itself and flies off tanngentially from the disk . The maximum height (in m ) reaction by the stone measured from the plane is `1/2 + (x)/(10).` the value of x is ___ [ Take `g= 10 m s^(-2)]`