Water is forced through a nozzle at the end of a hose. The nozzle has a circular cross-section with diameter $50\,\text{mm}$. A mass of $100\,\text{kg}$ of water takes $2.0\,\text{s}$ to pass through the nozzle. The density of water is $1000\,\text{kg m}^{-3}$. What is the water speed in the nozzle?
- A$6.4\,\text{m s}^{-1}$
- B$13\,\text{m s}^{-1}$
- C$25\,\text{m s}^{-1}$
- D$51\,\text{m s}^{-1}$