You are at a pool party and notice that 2 waves pass by a floating ball in 4 seconds. If the distance between each wave crest is 2 meters, what is the speed of the waves? Note: To calculate frequency, use the equation: Frequency = Number of waves / Time (Remember, the / symbol means division) Then, to calculate wave speed, use the equation: Wave speed (m/s) = Frequency (Hz) x Wavelength (m) (1 point)

A 1 m/s
B 6 m/s
C 2 m/s
D 1.5 m/s

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
2 months ago

To find the speed of the waves, we first need to determine the frequency and then use the wave speed formula.

1. **Calculate the Frequency:**
- Number of waves = 2
- Time = 4 seconds
\[
\text{Frequency} = \frac{\text{Number of waves}}{\text{Time}} = \frac{2 \text{ waves}}{4 \text{ seconds}} = 0.5 \text{ Hz}
\]

2. **Determine the Wavelength:**
- Wavelength = Distance between wave crests = 2 meters

3. **Calculate the Wave Speed:**
\[
\text{Wave speed} = \text{Frequency} \times \text{Wavelength} = 0.5 \text{ Hz} \times 2 \text{ m} = 1 \text{ m/s}
\]

Based on this calculation, the speed of the waves is **1 m/s**.

The answer is **A 1 m/s**.