Question

another way maya gets a more intense workout is by moving her arms faster to make the waves crests closer together. in this graph, the blue line models a wave maya created with a battle rope earlier in her workout. the orange line models another wave she creates by moving her arms faster. complete the sentences. when maya moves her arms up and down faster, she decreases the ​ and increases the ​ of the wave. as a result, maya’s workout is more intense, which means the energy of the waves she creates ​.

Explanation:

1. For the first blank: Wavelength is the distance between two consecutive crests (or troughs) of a wave. When Maya moves her arms faster, the crests get closer together, so the wavelength (distance between crests) decreases.
2. For the second blank: Frequency is the number of waves (or cycles) per unit time. Moving arms faster means more waves are produced in the same time, so frequency increases.
3. For the third blank: The energy of a wave is related to its frequency (and amplitude). Higher frequency (with constant amplitude, as seen from the graph where both waves have similar amplitude) means higher energy. So the energy increases.

Answer:

When Maya moves her arms up and down faster, she decreases the \(\boldsymbol{\text{wavelength}}\) and increases the \(\boldsymbol{\text{frequency}}\) of the wave. As a result, Maya’s workout is more intense, which means the energy of the waves she creates \(\boldsymbol{\text{increases}}\).