Suppose I want to use a quadratic parabolic speed curve to do a positioning movement. The velocities at the start and the end of the movement will both be 0 (there is a dwell phase before and after the positioning movement).
The speed parabole has to be symmetric. As parameters for the positioning movement I only have a maximum acceleration and a maximum speed I want to use. From these two parameters I should want to know the distance that will be travelled these maximum acceleration and maximum speed will be used.
For the symmetric speed parabole the maximum speed will occur at half the time period of the movement and the maximum acceleration will occur at the start and the end of the movement.
The speed parabole has to be symmetric. As parameters for the positioning movement I only have a maximum acceleration and a maximum speed I want to use. From these two parameters I should want to know the distance that will be travelled these maximum acceleration and maximum speed will be used.
For the symmetric speed parabole the maximum speed will occur at half the time period of the movement and the maximum acceleration will occur at the start and the end of the movement.