Final answer:
The quantity that exhibits simple harmonic variation with a period of 1 s in a vertical mass-spring system is the velocity. Therefore, the correct option is A.
Step-by-step explanation:
In a vertical mass-spring system, the only quantity that exhibits simple harmonic variation with a period of 1 s is the velocity. In simple harmonic motion (SHM), the velocity of the mass is constantly changing, reaching maximum values at the equilibrium position and zero at the extreme points of motion.