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 wavelength and increases the of the wave. as a result, mayas workout is more intense, which means amplitude e waves she creates wavelength frequency

Explanation:

• Frequency: Frequency refers to the number of wave cycles that occur in a given time. When Maya moves her arms faster, the number of wave cycles (the number of times the wave pattern repeats) in a given length (or time, since position is related to space - but the concept of cycles per unit length can be related to frequency in a spatial sense here) increases. Mathematically, for waves, if we consider the relationship \(v = f\lambda\) (where \(v\) is wave speed, \(f\) is frequency, and \(\lambda\) is wavelength), if the wave speed (assuming the medium - the rope - doesn't change its properties significantly, so wave speed is approximately constant) and wavelength (\(\lambda\)) decreases (as the crests are closer), then frequency \(f=\frac{v}{\lambda}\) must increase.
• Have more energy: More intense workouts (in the context of wave - related energy transfer) mean that the waves carry more energy. In wave physics, for mechanical waves (like the ones on the battle rope), the energy of a wave is related to its frequency (and amplitude). Higher - frequency waves (when other factors like amplitude are considered in a general sense of wave - based energy transfer in a workout, where moving faster implies more energy put into creating the waves) carry more energy.

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 waves she creates have more energy.