In what distance will a car traveling with 100 kN stop if a force of -200N is applied?

The descriptions of both the car's motion and of the proposed action are defective, so the question is unanswerable.-- The car's motion could be described in terms of its speed or its kinetic energy, but "100 kN" is meaningless as a description of motion.-- To describe a force as negative ("-200N") is meaningless as long as neither a frame of reference nor a positive direction has been defined.