Input target velocity v and uniform acceleration a, compute stopping distance d = v²/(2a) from rest, used for acceleration-segment motion planning and limit protection in robot joints or mobile platforms.
输入末速度 v 与加速度 a，求匀加速距离。
| Item | Formula / Note | Source / Standard |
|---|---|---|
| Acceleration distance | s = v²/(2a) | Halliday-Resnick |
| Trapezoidal profile | Trapezoid segments | Siegwart 2011 |
| S-curve profile | Jerk-limited | Biagiotti 2008 |