Two identical bodies A and B of equal masses have initial velocities v_1 =4 i m / s and v_2 =4 j m / s respectively. The body A has acceleration a_1…

Two identical bodies A and B of equal masses have initial velocities $\displaystyle \overrightarrow{v_1}=4 \hat{i} \mathrm{~m} / \mathrm{s}$ and $\displaystyle \overrightarrow{v_2}=4 \hat{j} \mathrm{~m} / \mathrm{s}$ respectively. The body A has acceleration $\displaystyle \overrightarrow{a_1}=6 \hat{i}+6 \hat{j} \mathrm{~m} / \mathrm{s}^2$ while the acceleration of the other body B is zero. The centre of mass of the two bodies moves in $\displaystyle \_\_\_\_$ path.