Answer
4.3 m.
Work Step by Step
Interpret the pressure head as an initial height for the water, where the speed of zero and it is at atmospheric pressure. Apply Bernoulli’s equation to relate values to those at the faucet location, including the desired speed of the water at the faucet. The faucet pressure is also atmospheric pressure.
$$P_1+\frac{1}{2}\rho v_1^2+\rho g y_1= P_2+\frac{1}{2}\rho v_2^2+\rho g y_2$$
$$ \frac{1}{2}\rho (0)^2+\rho g y_{head}= \frac{1}{2}\rho v_{faucet}^2+\rho g (0)$$
$$ y_{head}= \frac{v_{faucet}^2}{2g}=\frac{(9.2\;m/s)^2}{2(9.80\;m/s^2)}=4.3\;m$$
