Final answer:
The maximum length of the connected hose during hose testing can be calculated based on the given information. Using the formulas for volume flow rate and kinematic equations of motion, you can determine the maximum height that water can be squirted.
Step-by-step explanation:
The maximum length of the connected hose during hose testing can be calculated based on the given information. In the example provided, a fire hose with an inside diameter of 6.40 cm carries a flow of 40.0 L/s. It goes 10.0 m up a ladder to a nozzle with an inside diameter of 3.00 cm.
Using the formula for the volume flow rate of a fluid through a pipe, Q = A1v1 = A2v2, where A1 and A2 are the cross-sectional areas of the hose and nozzle, and v1 and v2 are the velocities of the fluid, we can solve for v2 to find the velocity of the water coming out of the nozzle.
Once we have the velocity, we can calculate the maximum height to which water could be squirted using the formulas for kinematic equations of motion.