Two cars 1 and 2 move with velocities v 1 and v 2 respectively, on a straight road in same direction. When the cars are separated by a distance d, the driver of car 1 applies brakes and the car moves with uniform retardation a 1 . Simultaneously, car 2 starts accelerating with a 2 . If v 1 >v 2 . Find the minimum initial separation between the cars to avoid collision between them.