A toy motorboat is travelling with constant velocity $v$ and bobs vertically on the surface of a pond. As a result, the boat produces circular water waves with frequency $2.0\,\text{Hz}$. The wave speed is $1.5\,\text{m s}^{-1}$. A man who is standing by the pond’s edge notices that the waves arriving from the boat have a frequency of $3.0\,\text{Hz}$. The equation used for Doppler effect calculations for sound waves can also be applied to water waves. What is a possible value of $v$?
- A$0.50\,\text{m s}^{-1}$, directly away from the man
- B$0.50\,\text{m s}^{-1}$, directly towards the man
- C$0.75\,\text{m s}^{-1}$, directly away from the man
- D$0.75\,\text{m s}^{-1}$, directly towards the man