Sure, let's determine the speed of the wave step-by-step.
1. Identify the given values:
- Frequency ([tex]\( f \)[/tex]): 2 Hz
- Wavelength ([tex]\( \lambda \)[/tex]): 8 m
2. Recall the formula for the speed of a wave:
Speed ([tex]\( v \)[/tex]) of a wave can be found using the relationship:
[tex]\[
v = f \times \lambda
\][/tex]
where [tex]\( v \)[/tex] is the speed, [tex]\( f \)[/tex] is the frequency, and [tex]\( \lambda \)[/tex] is the wavelength.
3. Substitute the given values into the formula:
[tex]\[
v = 2 \, \text{Hz} \times 8 \, \text{m}
\][/tex]
4. Calculate the speed:
[tex]\[
v = 16
\][/tex]
Hence, the speed of the wave is 16.