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We study the elasticity of the collision of two kinks with an incoming lowspeed $v\in (0,1)$ for the nonlinear wave equation in dimension $1+1$ known asthe $\phi^{6}$ model. We prove for any $k\in\mathbb{N}$ that if the incomingspeed $v$ is small enough, then, after the collision, the two kinks will moveaway with a velocity $v_{f}$ such that $\vert v_{f}-v\vert\leq v^{k}$ and theenergy of the remainder will also be smaller than $v^{k}.$ This manuscript isthe continuation of our previous paper where we constructed a sequence$\phi_{k}$ of approximate solutions for the $\phi^{6}$ model. The proof of ourmain result relies on the use of the set of approximate solutions from ourprevious work, modulation analysis, and a refined energy estimate method toevaluate the precision of our approximate solutions during a large timeinterval.

On the kink-kink collision problem of for the $\phi^{6}$ model with low speed