First you have to define what you mean by speed.
A ball of iron is composed by atoms of iron in an amorphous lattice, and it is subject to thermodynamic equations and statistical mechanics equations and quantum mechanical equations. In solids the degrees of freedom of the atoms are vibrational and rotational, so even though they have a "speed" they are not speeding anyplace. In vacuum your iron ball will radiate all the kinetic energy from the vibrational and rotational degrees of freedom and come to a temperature near absolute zero.
Iron also will have electrons freely moving in bands if an electric field is applied, and those electrons will have a velocity distribution dependent on the field applied.
When one comes within the iron nuclei, there are velocity probability distributions given by solutions to the quantum mechanical problem, within each nucleus for the protons and neutrons, and also for the bound electrons. They are not speeding anyplace either.
One can go into individual protons or neutrons and there, there will be quantum mechanical velocity probability distributions for the bound quarks making them up.