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JEE PHYSICS MCQ: SYSTEM OF PARTICLES

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Two particles of equal masses have velocities v1=4i^ ms−1{v}_1=4 \hat{i}{\mathrm{~ms}}^{-1} and v2=4j^ ms−1.{v}_2=4 \hat{{j}} \mathrm{~ms}^{-1}. First particle has an acceleration a1=(2i^+2j^)ms−2,a_1=(2 \hat{i}+2 \hat{j}) \mathrm{ms}^{-2}, while the acceleration of the other particle is zero. The centre of mass of the two particles moves in a path of:
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Correct option: A
straight line
Option A (straight line) is correct because the center of mass has a constant acceleration parallel to its velocity, resulting in linear motion.

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