In physics, jounce is the fourth derivative of the position vector with respect to time, with the first, second, and third derivatives being velocity, acceleration, and jerk, respectively; in other words, the jounce is the rate of change of the jerk with respect to time. Jounce is defined by any of the following equivalent expressions:
:\vec s =\frac {d \vec j} {dt}=\frac {d^2 \vec a} {dt^2}=\frac {d^3 \vec v} {dt^3}=\frac {d^4 \vec r} {dt^4}
the following equation is used for constant jounce.
* j = j. + st
* a = a. + j.t + \frac{1}{2}st^2
* v = u + a.t + \frac{1}{2}j.t^2 + \frac{1}{6}s...