Kinematics — projectile motion — time to maximum height?

1. The problem statement, all variables and given/known data
The nozzle of a fire hose discharges water at a speed of 10 m/s. The nozzle is aimed straight up. How long does it take for a water drop to reach its maximum height?
Start with translating the question:
vi= 10 m/s
vf= 0 m/s
t=? s
a= -9.8 m/s^2
delta−x= ?

2. Relevant equations

3. The attempt at a solution

OK, so I’m assuming that solving this takes 2 steps. One entails finding the maximum height, then using a kinematic formula to find time. Is that logic sound?

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