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(A) The acceleration of the centre of mass of a system is given by the formula: $a_{cm} = \frac{F_{ext}}{M}$,where $F_{ext}$ is the total external for

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Velocity is constant,acceleration is zero.

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(A) The acceleration of the centre of mass of a system is given by the formula: $a_{cm} = \frac{F_{ext}}{M}$,where $F_{ext}$ is the total external force acting on the system and $M$ is the total mass of the system.Given that the total external force $F_{ext} = 0$,we have $a_{cm} = \frac{0}{M} = 0$.Since the acceleration $a_{cm} = \frac{dv_{cm}}{dt} = 0$,it implies that the velocity of the centre of mass $v_{cm}$ must be constant over time.Therefore,if the total external force is zero,the acceleration of the centre of mass is zero,and its velocity remains constant.

If the total external forces on the system of particles is zero,then find the velocity and acceleration of its centre of mass.

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