Does anyone know how I can calculate the time it takes a servo motor to move?

If I know the motor's top speed, accel, decel and destination, is there a magic formula I can use?

 

For calculating of motion time you can use Profiler Calculator from Copley - http://www.copleycontrols.com/Motion/Java/calculator-Scurve.html

Please pay attention that move time only (i.e. without Settling time) can be calculated by such way.