This is a model of unknown scale of the GAR-1 (also designated the AIM-4), the first in a series of Falcon air-to-air missiles developed by Hughes Aircraft for the U.S. Air Force. It had a range of 5 miles, a maximum speed of Mach 2.8, and a conventional warhead. The missile was deployed for a brief period beginning in 1956. Hughes Aircraft made and donated the model to NASM in 1958.
This object is not on display at the National Air and Space Museum. It is either on loan or in storage.