A garden hose nozzle has an exit diameter of $2\mathrm{.}54cm.$ The mass flow rate of water through the nozzle is $0\mathrm{.}36k\frac{g}{s}.$ Assume the water flows through the nozzle isothermally, answer the following two questions.

The outlet velocity of the nozzle in $\frac{m}{s}$ is:

a$.0\mathrm{.}33$

b$.0\mathrm{.}24$

c$.0\mathrm{.}71$

d$.1\mathrm{.}16$

e$.1\mathrm{.}82$

The height to which the stream of water rises above the nozzle outlet when the pressure is pointed straight up in $cm$ is:

a$.5\mathrm{.}6$

b$.2\mathrm{.}6$

c$.7\mathrm{.}6$

$.9\mathrm{.}6$

e$.6\mathrm{.}6$