a student moves the end of a compressed coiled spring up and down to demonstrate wave motion she then moves the compressed coiled spring faster but keeps everything else the same which characteristic will increase

If the student moves the compressed coiled spring faster while keeping everything else the same, the characteristic that will increase is the frequency of the wave.

When the student moves the compressed coiled spring faster, the characteristic that will increase is the frequency of the wave. The frequency of a wave is the number of complete oscillations or cycles of the wave that occur within a given time interval. Increasing the speed at which the compressed coiled spring is moved up and down will cause the wave to complete more cycles in the same amount of time, thus increasing the frequency of the wave.

When the student moves the compressed coiled spring faster, the characteristic that will increase is the frequency of the wave.

To understand why this occurs, we need to know that frequency is the number of complete cycles or vibrations occurring in a given amount of time. In the context of wave motion, a complete cycle refers to one complete oscillation of the wave.

When the student moves the compressed coiled spring up and down to demonstrate wave motion, the spring creates oscillations or waves. The speed at which the spring is moved determines how quickly these oscillations occur. The faster the student moves the spring, the more cycles or oscillations will occur in a given time period.

Therefore, increasing the speed at which the spring is moved will result in an increased frequency of the wave.