Q.

A system of particles is free from any external force. If v→ and a→ be the velocity and acceleration of the centre of mass, then it necessarily follows that

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a

v→=0; a→=0

b

v→≠0; a→=0

c

v→=0; a→≠0

d

both 2 and 3

answer is D.

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Detailed Solution

Absence of external force, only confirms about the fact that a→ = 0. However, v→ may or may not be zero.
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A system of particles is free from any external force. If v→ and a→ be the velocity and acceleration of the centre of mass, then it necessarily follows that