This is a model of unknown scale of a Ram rocket. There is no information available on the rocket this model is based on or if and when the rocket was operational. It is possible that it is a model of a Navy Ram rocket carried on aircraft from 1950-1954 and used against armor. However, there are some differences in the configuration. NASA's Langley Research Center presumably made the model and transferred it to NASM.
This object is not on display at the National Air and Space Museum. It is either on loan or in storage.