Characteristics of simple harmonic motion include which of the following? I The acceleration is constant, II The restoring force is proportional to the displacement lll.The frequency is independen of the amplitude. a. II and III only b. II only C. I and II only d. I and III only

The correct answer is a. II and III only.<br /><br />In simple harmonic motion (SHM), the acceleration is not constant, but rather it varies with the displacement. The acceleration is proportional to the displacement and directed towards the equilibrium position. This is known as the restoring force, which is proportional to the displacement (II).<br /><br />The frequency of SHM is independent of the amplitude (III). The frequency is determined by the system's properties, such as the mass and the spring constant in the case of a spring-mass system, and it remains constant regardless of the amplitude of the motion.<br /><br />Therefore, the characteristics of simple harmonic motion include that the restoring force is proportional to the displacement and the frequency is independent of the amplitude.