If the students continue to move the ends of the rope up and down the same distance but move them faster, the following changes would occur in the wave characteristics:
- The frequency of the wave would increase because the ends of the rope are creating more cycles per unit of time.
- The wavelength would decrease because the wave is being produced more rapidly, resulting in shorter distances between successive peaks of the waves.
- The amplitude would remain unchanged since the vertical distance to which the students are moving the ends of the rope stays the same.
Thus, the correct response would be: The frequency would increase and the wavelength would decrease, but the amplitude would be unchanged.