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(D) The system consists of a man of mass $m$ and a trolley of mass $M$. Since the trolley is placed on a smooth horizontal surface,there is no externa

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remains stationary

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(D) The system consists of a man of mass $m$ and a trolley of mass $M$. Since the trolley is placed on a smooth horizontal surface,there is no external horizontal force acting on the system (man $+$ trolley). According to the property of the centre of mass,if the net external force on a system is zero,the acceleration of the centre of mass is zero $(a_{cm} = 0)$. Initially,the system is at rest,so the initial velocity of the centre of mass is zero $(v_{cm} = 0)$. Since the acceleration of the centre of mass is zero and its initial velocity is zero,the centre of mass of the system remains stationary throughout the motion.

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