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 body \(B\) is zero.
The centre of mass of the two bodies moves in ______ path.