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  4. A ball of mass m is thrown upward and another ball of same mass is thrown downward so as to move freely under gravity. The acceleration of centre of mass is

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Q. A ball of mass $m$ is thrown upward and another ball of same mass is thrown downward so as to move freely under gravity. The acceleration of centre of mass is

System of Particles and Rotational Motion

Solution:

$a_{c m}=\frac{m(-g)+m(-g)}{m +m}$
$a_{c m}=-g$