Free Fall Problem: Solve for Water Speed Leaving Nozzle

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The problem involves calculating the speed of water leaving a garden hose nozzle pointed vertically upward at 1.5 meters. After adjusting the nozzle, the water strikes the ground 2.0 seconds later. Using the equation Xf = Xo + Vot + (1/2)at², the solution yields a water speed of 9.1 m/s. The problem is classified as 'hard,' typically requiring multiple steps, but the solution was reached in one step. The calculation appears to be correct and confirms the expected outcome.
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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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