Method and apparatus for accelerating a motor to an operational velocity using a continuous sequence of current limit values derived from a plurality of discrete current limit values. Each discrete current limit value establishes a maximum current magnitude for the motor over a plurality of intermediate velocities less than the operational velocity. Each current limit value in the continuous sequence of current limit values has a different magnitude for each different one of the plurality of intermediate velocities. The continuous sequence of current limit values are preferably derived by generating coefficients of a multi-order polynomial curve in relation to the discrete current limit values, and obtaining the continuous sequence of current limit values in relation to said coefficients. Faster acceleration, reduced current spiking and less acoustic noise during motor acceleration are thereby obtained.