Question

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

Answer 1

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.