A meter stick `AB` of length 1 meter rests on a frictionless floor in horizontal position with end `A` attached to the string as shown. Assume that string connecting meter stick with pulley always remains vertical.
Time taken to cover the distance in above part is `:`
A. `((sqrt(2)+1)/(4sqrt(2)))sec`
B. `((sqrt(2)-1)/(4sqrt(2)))sec`
C. `(1)/(4sqrt(2))sec`
D. `(1)/(8)sec`