Levi Roots teaches Jamie Oliver how to make jerk chicken. If its constant just integrate once to get a a 0 j t and then twice more to get v v 0 a 0 t 1 2 j t 2 and x x 0 v 0 t 1 2 a 0 t 2 1 6 j t 3. Vf final velocity.
The way to avoid jerk is to reduce the rate of acceleration or deceleration.
D vi t 05 a t2 3. Lets suppose that st is an objects position function. It is a vector quantity having both magnitude and direction. The jerk would be shown in the following 3 formulas.