To answer this question, calculate the following; if the result is larger than 1, your camera should be able to see the object:
( Dt / Lt ) × Nt × ( L / D )
Lt and Dt are the length of and distance away, respectively, of a nearby test object. Note, Dt should be at least 3 times larger than Lt.
Nt is the number of pixels that the test object takes up in the image, along it's entire length.
D and L are the distance away and length of, respectively, of the object of interest.
In your case, D is 4500×12 inches, and L is 3.5 inches, so L/D is 1/15,400.