Two trains are moving with velocities \( v_{1}=10 \mathrm{~ms}^{-1} \) and \( v_{2}=20 \mathrm{~...

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Two trains are moving with velocities \( v_{1}=10 \mathrm{~ms}^{-1} \) and \( v_{2}=20 \mathrm{~ms}^{-1} \) on the same track in opposite directions. After the application of brakes if their retarding rates are \( a_{1}=2 \) \( \mathrm{ms}^{-2} \) and \( a_{2}=1 \mathrm{~ms}^{-2} \) respectively, then the minimum distance of separation between the trains to avoid collision is
(a) \( 150 \mathrm{~m} \)
(b) \( 225 \mathrm{~m} \)
(c) \( 450 \mathrm{~m} \)
(d) \( 300 \mathrm{~m} \)
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