Question

the graphs below model two transverse waves that maya created with a battle rope. in each graph, the horizontal axis shows the horizontal position of particles of the rope, measured from where maya stood. the vertical axis shows the vertical displacement of the rope, measured from the equilibrium position, at a specific moment in time.
wave 1
wave 2
assuming the waves are traveling at the same speed, compare the waves.

	greater for wave 1	greater for wave 2	equal for both waves
the wavelength is	( )	( )	( )
the frequency is	( )	( )	( )

Explanation:

Step1: Compare wave amplitudes

Amplitude is maximum vertical displacement. Wave 1: $1\ \text{m}$, Wave 2: $2\ \text{m}$.

Step2: Compare wave wavelengths

Wavelength is distance between peaks. Wave 1: $10\ \text{m}$, Wave 2: $5\ \text{m}$.

Step3: Relate speed to frequency

Use wave speed formula $v = f\lambda$. Since $v$ is equal, $f = \frac{v}{\lambda}$. Smaller $\lambda$ means larger $f$.

Answer:

	greater for Wave 1	greater for Wave 2	equal for both waves
The wavelength is	●
The frequency is		●