Two bodies move in a straight line towards each other at initial velocities \( v_{1} \) and \( v...

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Two bodies move in a straight line towards each other at initial velocities \( v_{1} \) and \( v_{2} \) and with constant accelerations \( a_{1} \) and \( a_{2} \) directed against the corresponding velocities at the initial instant.
What must be the maximum initial separation \( l_{\max } \) between the bodies for which they meet during the motion?
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