The response of a quantum dot in the Kondo regime to a rectangular pulsed bias potential of various strengths and durations is studied theoretically. It is found that the rise time is faster than the fall time, and also faster than time scales normally associated with the Kondo problem. For larger values of the pulsed bias and long pulses, one can induce dramatic oscillations in the induced current with a frequency approximating the splitting between the Kondo peaks that would obtain if steady state were attained at that bias. The effect persists in the total charge transported per pulse, which should be an aid to its experimental observation.