In physics, the relationship between amplitude and displacement depends on the context in which they are used.
In the context of waves, such as sound waves or electromagnetic waves, amplitude refers to the maximum magnitude or strength of the wave's oscillations. It represents the maximum displacement of a particle or point in the medium from its equilibrium position. Displacement, on the other hand, refers to the distance and direction from the equilibrium position of the particle or point at a given time.
For a simple harmonic motion, which is a type of periodic motion, the displacement of an oscillating object or particle is directly related to its amplitude. The displacement of the object or particle at any given time is equal to the amplitude multiplied by the sine or cosine of the phase or angular frequency of the motion.
In summary, the amplitude determines the maximum displacement that can be achieved by an oscillating object or particle, while displacement refers to the actual position of the object or particle at a specific time.