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Two bodies move in a straight line towar...

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

Text Solution

Verified by Experts

The correct Answer is:
`((v_(1)+v_(2))^(2))/(2(a_(1)+a_(2)))`
`v_(12) = v_(1) - v_(2) = v_(1) - (-v_(2))=v_(1) + v_(2)`

`a_(12) = -a_(1) - a_(2) = -(a_(1) + a_(2))`.
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