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When discussing the motion of a point on a progressive wave, what should be included?

  1. Velocity of the wave only

  2. The time at which the wave reaches maxima and minima

  3. The frequency of the wave only

  4. The amplitude of the wave only

The correct answer is: The time at which the wave reaches maxima and minima

In the context of a progressive wave, it is essential to understand how individual points on the wave move over time. The motion of a point on the wave involves periodic movement where the point oscillates between maximum and minimum displacements. By considering the time at which the wave reaches these maxima and minima, one can glean information about the period of oscillation and how the waveform progresses through space over time. This information is crucial for predicting the behavior of the wave. For example, it allows us to determine how long it takes for a point on the wave to return to a maximum or minimum position, which is intrinsically tied to the wave's frequency and the nature of the oscillation. Analyzing these time intervals helps illustrate how the wave propagates and the nature of the oscillatory motion of the individual points along the wave. Including aspects such as the velocity, frequency, or amplitude alone does not provide a complete picture of how a point on the wave behaves over time; these factors are important, but without understanding the specific timing of the maxima and minima, the full dynamic behavior of the wave cannot be appreciated.