Mid-air interaction has the potential to manipulate objects in 3D with more natural input mappings. We compared the performance attainable using various mid-air interaction methods with a mechanically constrained input device in a 6 degrees-of-freedom (DoF) docking task in both accuracy and completion time. We found that tangible mid-air input devices supported faster docking performance, while exhibiting accuracy close to that of constrained devices. Interaction with bare hands in mid-air achieved similar time performance and accuracy compared to the constrained device.