Free Fall Problem: Solve for Water Speed Leaving Nozzle

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Homework Help Overview

The problem involves calculating the speed of water as it exits a garden hose nozzle pointed vertically upward, considering the time it takes for the water to hit the ground after being released.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to apply the kinematic equation to find the initial velocity of the water, while some participants confirm the correctness of the approach without raising further questions.

Discussion Status

The discussion appears to have reached a point where the original poster's calculation is acknowledged as correct by other participants. However, there is a mention of the problem's difficulty level, suggesting that the original poster may have concerns about the complexity of the solution process.

Contextual Notes

The original poster notes that the problem was classified as 'hard,' indicating a potential expectation of a more complex solution involving multiple steps.

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Homework Statement


Suppose you adjust your garden hose nozzle for a hard stream of water. You point the nozzle vertically upward at a height of 1.5 meters above the ground. When you quickly move the nozzle away from the vertical, you hear the water striking the ground next to you for another 2.0 seconds. What is the water speed as it leaves the nozzle?


Homework Equations


Xf = Xo + Vot + (1/2)at2


The Attempt at a Solution



Xf = Xo + Vot + (1/2)at2
-1.5 m = Vo(2) + (1/2)(-9.8)(4)
Vo = 9.1 m/s
 
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That looks right. Is there a question?
 
Looks good.
 
The difficulty level for this problem was 'hard.' Most of these problems take at least 3 steps to solve. I thought I did something wrong since I got the answer in one step...
 

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