I´m trying to calculate what the maximum allowed velocity for a mechanical axis traveling towards a stop. The maximum velocity must be a secure speed so the axis have is able to stop in time.
I have:
- current position
- current distance to stop
- current velocity
- acceleration/deceleration constant
- jerk constant
I did found this formula
$\frac{v^2}{2a}+\frac{va}{2j}=d$
where
- $a$ = acceleration,
- $v$ = velocity
- $j$ = jerk
- $d$ = stop distance
but I don't know how to calculate the $v$ instead.
Is this the correct formula to use and in that case, how should I use it?