A ball of mass 1 kg is thrown up with an initial speed 4 m/s. A second ball of mass 2 kg is released from rest from some height as shown in figure. Consider the following statements and select the correct alternative.
(i) the centre of mass of the two balls comes down with acceleration g/3.
(ii) the centre of mass first moves up and then comes down.
(iii) the acceleration of the centre of mass is g downwards
(iv)the centre of mass of the two balls remains stationary

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Statements ( i ) and (ii) are only correct

Statements (ii) and (iii) are only correct

Statements (i), (ii) and (iii) are only correct

Statements (ii) and (iv) are only correct.

answer is B.

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Detailed Solution

${\vec{a}}_{c m} = \frac{m_{1} {\vec{a}}_{1} + m_{2} {\vec{a}}_{2}}{m_{1} + m_{2}} = \frac{1 g + 2 g}{3} = g$

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