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 ________.

Step-by-step solution

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