Final answer:
Water flow speeds from a nozzleless hose at around 1.96 m/s, increasing with a nozzle. This demonstrates fluid dynamics that can be further exemplified by calculating the flow rate from a faucet and changes in stream diameter.
Step-by-step explanation:
The speed of the flow near its beginning can be demonstrated with the example of water emerging from a hose. Without a nozzle, the speed is about 1.96 m/s, but with a nozzle, the speed increases because the flow is constricted to a narrower tube, thus illustrating the principles of fluid dynamics.
This can be related to a faucet with a 1.80-cm diameter where water emerges at a speed of 0.500 m/s; here, the flow rate can be calculated, and using principles like the continuity equation and Bernoulli's principle, we can further explore how the speed and diameter of the stream change as it moves away from the faucet.