Please help. I need to move an object such that its distance / time profile resembles a sigmoid curve but in a non-symmetrical manner.
1- Let's say that I need to move 800cm in 3 seconds. How do I distort a sigmoid curve whilst still crossing the axes at the same points, eg:
In the above diagram, y is the distance left to travel (800cm) and t is time, starting at 0 and going to 3s.
2- How do I make sure that the acceleration of the curve doesn't exceed some value a, eg 1.5m/s^2?