Shaprshooters are sap-sucking insects that use biological springs located at their anal stylus to fling droplet excreta at high speeds and accelerations. Here, we investigate the unique catapulting mechanism used by these insects to eject the fluid drops. Unlike the propulsion of rigid projectiles, where their maximum speed is set by the speed of the underlying actuator, we discover that sharpshooters exploit the elastic properties of water droplets to fling them at 2 to 3 times faster speed than the underlying actuator. We uncover how this ‘superpropulsion’ is achieved due to a fine tuning between the catapulting frequency of the anal stylus and the Rayleigh frequency of a liquid droplet. Through mathematical modeling and scaling analysis, we outline the biological and physical limits of superpropulsion, in comparison to other fluid pumping techniques. We finally discuss the potential of superpropulsion in engineering applications.