This effect you are observing has to do with the nature of the afferent neurons (Ia fibers), which carry a signal into the spinal cord and synapse onto motor neurons directly. See this text (scroll down to section 1.10) for a diagram. At their other end, these Ia fibers penetrate into the muscle and wrap themselves around the body of the muscle spindles, `"[which] are specialized receptors that signal (a) the length and (b) the rate of change of length (velocity) of the muscle."`
Because the main role of these spindles is to monitor the muscles for very rapid changes in length, the neurons have a static range which is optimized for these quick jerks (rather than firing over a wide range of velocities). When you are stretching the muscle slowly, the Ia fiber is not building up a sufficient depolarization to fire off an action potential.