Calculating Max Height of Water Squirted from Garden Hose

AI Thread Summary
To calculate the maximum height of water squirted from a garden hose nozzle, the projectile motion equations are essential. The nozzle's radius and the velocities of water in both the hose and nozzle are crucial for determining the height. The expected answers are 42 meters for the nozzle attached and 0.4 meters without it, indicating a significant difference due to the nozzle's effect on velocity. If the calculations are incorrect, reviewing the use of projectile motion equations is necessary. Proper application of these equations will yield the correct results.
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Homework Statement



A nozzle with a radius of 0.250 cm is attached to a garden hose with a radius of 0.800 cm. The velocity of the water in the hose is 2.80 m/s and the velocity of the water in the nozzle is 28.7 m/s.s

(a) Calculate the maximum height to which water could be squirted if it emerges from the nozzle.

(b) Calculate the maximum height to which water could be squirted if it emerges with the nozzle removed, assuming the same flow rate.




Homework Equations



I might be missing something but don't I only have to use the projectile motion equation and solve for the delta y?

The Attempt at a Solution



I tried using the projectile motion equation but I don't get the right answer, and I don't know how to make use of the radius information.

The answers are supposed to be a) 42m and b) .4m I just need to know how it's solved
 
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Those answers can indeed be obtained with just the projectile motion equations. If you cannot obtain them, you must be making a mistake somewhere. Show your work.
 
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