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Two particles of masses \( m_{1} \) and \( m_{2} \) initially at rest start moving towards each other under their mutual force of attraction. The speed of the centre of mass at any time \( t \), when they are at a distance \( r \) apart, is
[Haryana CEE 1996; CBSE PMT 2010]
(a) Zero
(b) \( \left(G \frac{m_{1} m_{2}}{r^{2}} \cdot \frac{1}{m_{1}}\right) t \)
(c) \( \left(G \frac{m_{1} m_{2}}{r^{2}} \cdot \frac{1}{m_{2}}\right) t \)
(d) \( \left(G \frac{m_{1} m_{2}}{r^{2}} \cdot \frac{1}{m_{1}+m_{2}}\right) t \)
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