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, mayas work amplitude hse, which means the energy of the waves she creates wavelength frequency

Explanation:

• Wavelength: The distance between two consecutive crests (or troughs) of a wave. When arms move faster, crests are closer (as per the problem statement), so wavelength decreases.
• Frequency: The number of waves passing a point per unit time. Faster arm - movement means more waves are created in the same time interval, so frequency increases.
• Energy of a wave: The energy of a wave is related to its frequency (\(E = hf\), where \(h\) is Planck's constant and \(f\) is frequency). As frequency increases, energy increases.

Answer:

When Maya moves her arms up and down faster, she decreases the wavelength and increases the frequency of the wave. As a result, Maya's workout is more intense, which means the energy of the waves she creates increases.