Using an updated high-temperature superconductor maglev measurement system, influences of the motion mode in which both the superconductor and the magnet are placed close to each other on the magnetic forces and their relaxation are measured. It is found that Method 1, in which the magnet coaxially approaches the superconductor which is subsequently displaced laterally, leads to reduce the relaxation both in the levitation force and in the lateral force in comparison to Method 2, where lateral displacement of superconductor occurs before vertical motion of the magnet. The results are relevant for the practical levitation systems.