30- wave has a frequency of 14 Hz and a wavelength of 3 m. At what speed will this wave travel?1 point42 m/s42 m4.67 m/s4.67 Hz

1. Break Down the Problem

We need to find the wave speed ($v$) using the relationship between speed, frequency ($f$), and wavelength ($\lambda$). The formula to use is:

$v = f \cdot \lambda$

2. Relevant Concepts

• Frequency ($f$) is given as $14 \, \text{Hz}$.
• Wavelength ($\lambda$) is given as $3 \, \text{m}$.

3. Analysis and Detail

Now we will calculate the wave speed using the formula:

$v = f \cdot \lambda$

Substituting the values:

$v = 14 \, \text{Hz} \cdot 3 \, \text{m} = 42 \, \text{m/s}$

4. Verify and Summarize

We have calculated that the speed of the wave is $42 \, \text{m/s}$. This result aligns with the calculations derived from the known relationship.

Final Answer

The speed of the wave is $42 \, \text{m/s}$.