InterviewSolution
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InterviewSolution
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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 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 ?A. `(v_(1)^(2))/(a_(1)) + (v_(2)^(2))/(a_(2))`B. `((v_(1) + v_(2))^(2))/(2(a_(1) + a_(2)))`C. `(v_(1)v_(2))/(sqrt(a_(1)a_(2)))`D. `(v_(1)^(2) - v_(2)^(2))/((a_(1) - a_(2)))` |
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Answer» Correct Answer - B `v_("rel") = v_(1) + v_(2)` `a_("rel") = (a_(1) + a_(2))`, directed oppposite to motion. Using, `v^(2) - u^(2) = 2 as`, we have `(0)^(2) - (v_(1) + v_(2))^(2) = - 2 (a_(1) + a_(2))s` `s = ((v_(1) + v_(2))^(2))/(2(a_(1) + a_(2)))` |
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