To determine which wave has a faster speed, we can use the relationship between speed, frequency, and wavelength. The speed of a wave is given by the formula:
\[ \text{Speed} = \text{Wavelength} \times \text{Frequency} \]
Let's calculate the speed for both waves.
For Wave W:
- Wavelength = 5 meters
- Frequency = 200 Hz
\[ \text{Speed}_W = 5 , \text{m} \times 200 , \text{Hz} = 1000 , \text{m/s} \]
For Wave X:
- Wavelength = 3 meters
- Frequency = 300 Hz
\[ \text{Speed}_X = 3 , \text{m} \times 300 , \text{Hz} = 900 , \text{m/s} \]
Now we compare the speeds:
- Wave W speed = 1000 m/s
- Wave X speed = 900 m/s
From the calculations, we can conclude that Wave W has a faster speed.
Regarding amplitude, no information is given about the amplitudes of either wave, so we cannot make a conclusion about the amplitudes.
Therefore, the correct conclusion that can be made is:
Wave W has a faster speed.
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