How do I calculate the target velocity of a motor?

I hope this is what you were looking for:

Let A = your acceleration(RPS^2)

Let D = your deceleration(RPS^2) (use positive value)

Let RPS = your target velocity in RPS

Let RPM = velocity in RPM

Let N = the number of revolutions the motor needs to turn

Let t (sec) = time needed

Sqrt = square root. Make sure you pay attention to the brackets.

Then RPS = ( -t + Sqrt(t^2 + 2N(A+D)/AD))x AD/(A+D)

And RPM = RPS/60

I believe this formula is correct since I checked that both sides of the equation have the units of velocity.

However, I have noted that many people on this site give out incorrect info. It is always a good idea to get a second source confirmation. Perhaps a servo motor manufacturer or distributor could provide the info and give helpful tips for a specific application. Also physics or math faculty at most colleges and universities are pretty co-operative when it comes to requests like this. If you fax the details they'll usually respond. Best wishes!