Free Fall Problem: Solve for Water Speed Leaving Nozzle

[Quincy]

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

X_f = X_o + V_ot + (1/2)at²

The Attempt at a Solution

X_f = X_o + V_ot + (1/2)at²
-1.5 m = V_o(2) + (1/2)(-9.8)(4)
V_o = 9.1 m/s

 

[Dick]

That looks right. Is there a question?

 

[Doc Al]

Looks good.

 

[Quincy]

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...