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  4. Two balls are thrown vertically upward simultaneously. While they are in air, the acceleration of their centre of mass

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Q. Two balls are thrown vertically upward simultaneously. While they are in air, the acceleration of their centre of mass

Solution:

$\overrightarrow{a_{ cm }}=\frac{-m g\,\hat{j}-m g\, \hat{j}}{2 m}$
$\left|\overrightarrow{a_{ cm }}\right|=g$