Two cars P and Q are moving on a road in the same direction. Acceleration of car P increases linearly with time whereas car Q moves with a constant acceleration. Both cars cross each other at time t =

Question

Two cars P and Q are moving on a road in the same direction. Acceleration of car P increases linearly with time whereas car Q moves with a constant acceleration. Both cars cross each other at time t = 0 , for the first time. The maximum possible number of crossing(s) (including the crossing at t = 0 ) is ________.

TestHub · Accepted Answer

a p ​ = kt , k is constant a Q ​ = a , a is constant a QP ​ = a Q ​ − a p ​ = a − kt as initial velocities are not mentioned in question, so will have to assume two cases. Case-I u OP ​ and a QP ​ in same direction Total number of crossing = 2 Case-II u QP ​ and a QP ​ in opposite direction Total number of crossing = 3

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