Calculate path time as a function of jerk


I am looking for a formula that allows me to calculate the required path time based on the jerk applied.

A robot must move from point A to B, the speed, acceleration and deceleration are all infinite and do not limit the speed of the robot. Only the jerk is the limiting factor in the movement from A to B.

I have a limited background in the matter, which makes it too difficult for me to break down a formula myself. Does anyone have the appropriate formula for this?
Thank you in advance!


I think this requires solving some pretty tough equations. There’s nothing built-in to calculate this, I’m afraid.