In this paper, we study the jerk vector that is the rate of change of the acceleration vector over time. In threeâdimensional space, the decomposition of the jerk vector is a new concept in the field. This decomposition expresses the jerk vector as the sum of three unique components in specific directions: the tangential direction, the radial direction in the osculating plane, and the radial direction in the rectifying plane. The snap vector is the rate of change of the jerk vector over time. In this paper, the authors examine nonârelativistic particles moving along nonâlightlike Frenet curves at low speeds compared to the speed of light in Minkowski 3âspace. They resolve the jerk and snap vectors using FrenetâSerret frames. Additionally, the cases for motion along nonâlightlike Frenet planar curves in the Minkowski 3âspace are given as corollaries. To help understand these results, the paper provides some illustrative examples