<s>[INST] In an experiment, two particles interact and move along one dimension (e.g. along x-axis). The initial conditions are:
(x1, p1) = (1, 1) and (x2, p2) = (-1, -1)
where x represents the position of a particle and p represents the momentum (mv) of a particle.
The interaction between the particles is such that the final states are:
(x1f, p1f) = (-2, 2) and (x2f, p2f) = (3, -3)

a. Calculate the change in momentum (Δp) for each particle.
b. What is the ratio of the change in momentum (Δp) to the change in distance (Δx) for each particle?[/INST]