a. Displacement (x) equal to zero:
Displacement is zero at the equilibrium position of the mass, which is the point where the spring is neither stretched nor compressed. This occurs when the restoring force acting on the mass due to the spring's elasticity is balanced by the inertia of the mass. At this point, the mass momentarily comes to rest before changing directions.
b. Velocity (v) equal to zero:
Velocity is zero at the extreme points of the oscillation, where the mass momentarily stops before changing direction. These extreme points are where the displacement from the equilibrium position is maximum in either the positive or negative direction.
c. Acceleration (a) equal to zero:
Acceleration is zero at the equilibrium position, where the restoring force and inertia are balanced, and at every point where the velocity is zero. This means that the rate of change of velocity is zero at these points, indicating either maximum or minimum velocity.
In summary, for a mass on a spring, displacement is zero at the equilibrium position, velocity is zero at the extreme points, and acceleration is zero at both the equilibrium position and at the points where velocity is zero.
