S-curve designer

Speed, acceleration and jerk limits: comfort against trip time, next to the trapezoidal profile.

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Trip length H20 m

Rated speed v_max2.5 m/s

Acceleration limit a_max1.0 m/s²

Jerk limit j_max1.5 m/s³

Show the trapezoidal profile (infinite jerk)

Within the comfort limits (a ≤ 1.2 m/s², j ≤ 2 m/s³)

j = da/dt ; t_jerk = a_max / j_max = 0.67 s