A method for carrying out seeks of a transducer between tracks of a disc drive to limit acoustic noise arising from changes in the acceleration of the actuator which supports the transducer. The rate of change of the acceleration is limited utilizing three techniques: limitation of changes in the control signal outputted to an actuator driver that supplies an electrical current to the actuator that gives rise to a torque on the actuator to a preselected slew rate limit, averaging the control signal in successive repetitions of the generation of the control signal and outputting the averaged control signal during an initial portion of the time for the repetition while outputting the control signal determined in the repetition for the remainder of the time for the repetition, and determining a component of the control signal in relation to the difference between the radial velocity of the transducer and a profile velocity determined in relation to the smaller of the distance remaining in the seek and a deceleration distance determined by multiplying the length of the seek by a predetermined factor selected to cause the transducer to coast at substantially constant speed between acceleration and subsequent deceleration of the transducer.