In nature, several ciliated protists share the remarkable ability to undergo ultrafast motions using protein assemblies called myonemes, which contract in response to Ca2+ions. These systems are not adequately described by existing theories, such as those of actomyosin contractility and macroscopic biomechanical latches, and new models are needed to understand their mechanism. Here, we image and quantitatively analyze the contractile kinematics observed in two ciliated protists (Vorticella spandSpirostomum sp), and, based on mechanochemistry of the organisms, we introduce a minimal mathematical model that reproduces our and published observations. Analysis of the model reveals a set of three dynamic regimes, which are differentiated by the rate of chemical driving and the importance of inertia. We describe their distinct scaling behaviors and kinematic signatures. In addition to providing insight into Ca2+-powered myoneme contraction in protists, our work can guide the rational design of ultrafast bioengineered systems such as active synthetic cells.