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Two cars A and B are travelling in the same direction with velocities v1 and v2 (v1>v2). When the car A is at a distance d ahead of the car B, the driver of the car A applied the brake producing a uniform retardation a There will be no collision when 

(1) d<(v1v2)22a

(2) d<v12v222a

(3) d>(v1v2)22a

(4) d>v12v222a