A point mass starts moving in straight line with constant acceleration a from rest at \[t=0.\] At time \[t=2s\], the acceleration changes the sign, remaining the same in magnitude. The mass returns to the initial position at time \[t={{t}_{0}}\] after start of motion. Here \[{{t}_{0}}\] is:

• A. 4s
• B. \[(4+2\sqrt{2})s\]
• C. \[(2+2\sqrt{2})s\]
• D. \[(4+4\sqrt{2})s\]