Question
A water wave has a period of 2.0 seconds and a wavelength of 7.0 meters. How far will the wave travel in 8.0 seconds?Answer options with 4 options.2.3 meters.17.0 meters.28.0 meters3.112.0 meters
Answers
GPT-4o mini
To find out how far the wave will travel in 8.0 seconds, we first need to determine the wave's speed.
The wave speed (\(v\)) can be calculated using the formula:
\[
v = \frac{\text{wavelength}}{\text{period}}
\]
Given that the wavelength is 7.0 meters and the period is 2.0 seconds, we can substitute these values into the formula:
\[
v = \frac{7.0 \text{ m}}{2.0 \text{ s}} = 3.5 \text{ m/s}
\]
Now that we have the speed of the wave, we can calculate the distance traveled in 8.0 seconds using the formula:
\[
\text{distance} = \text{speed} \times \text{time}
\]
Substituting in the values:
\[
\text{distance} = 3.5 \text{ m/s} \times 8.0 \text{ s} = 28.0 \text{ m}
\]
Thus, the wave will travel **28.0 meters** in 8.0 seconds.
So the correct answer is **28.0 meters**.
The wave speed (\(v\)) can be calculated using the formula:
\[
v = \frac{\text{wavelength}}{\text{period}}
\]
Given that the wavelength is 7.0 meters and the period is 2.0 seconds, we can substitute these values into the formula:
\[
v = \frac{7.0 \text{ m}}{2.0 \text{ s}} = 3.5 \text{ m/s}
\]
Now that we have the speed of the wave, we can calculate the distance traveled in 8.0 seconds using the formula:
\[
\text{distance} = \text{speed} \times \text{time}
\]
Substituting in the values:
\[
\text{distance} = 3.5 \text{ m/s} \times 8.0 \text{ s} = 28.0 \text{ m}
\]
Thus, the wave will travel **28.0 meters** in 8.0 seconds.
So the correct answer is **28.0 meters**.