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