Two identical bodies A and B of equal masses have initial velocities \( \vec{v}_1 = 4\hat{i} \, \text{m/s} \) and \( \vec{v}_2 = 4\hat{j} \, \text{m/s} \) respectively. The body A has acceleration \( \vec{a}_1 = 6\hat{i} + 6\hat{j} \, \text{m/s}^2 \) while the acceleration of the other body B is zero. The centre of mass of the two bodies moves in ______ path.
