Quadrajets have a vacuum operated plunger (power piston) that operates the metering rods (which open the fuel jets). The plunger/piston is prone to gunk buildup and sticking after sitting for long periods, which would explain the failure to accelerate. You have to remove the top of the carburetor to access it.
B-12 Chemtool (if they still make it?) is your friend.
B-12 Chemtool (if they still make it?) is your friend.