Final answer:
The wavelength of a wave with a velocity of 55.40 meters per second and a frequency of 14.63 hertz is 3.79 meters, after rounding to two decimal places.
Step-by-step explanation:
To calculate the wavelength of a wave, you can use the formula:
Velocity (v) = Wavelength (λ) × Frequency (f)
Reorganizing the formula to solve for wavelength gives:
Wavelength (λ) = Velocity (v) / Frequency (f)
Given that the wave is traveling at a velocity of 55.40 meters per second and has a frequency of 14.63 hertz,
Wavelength (λ) = 55.40 m/s / 14.63 Hz = 3.785 meters
After rounding the final answer to two decimal places, the wavelength is:
3.79 meters