Recoil mitigating devices and methods for use with projectile firing systems such as a disrupter mounted to a robotic arm. A pair of parallel spring provides dampening of axial recoil movement of the disrupter relative to the robotic arm. Forward ends of the springs are attachable to the barrel of the disrupter while rearward portions of the springs are attachable to the robotic arm by a robot mount block. The robot mount block at least partially encloses the barrel of the disrupter in connecting the parallel springs and permits axial movement of the disrupter along or through the mount during firing.