$(3)$ Refer to the closed pipe water system. A pitot tube is used upstream on a $5\mathrm{.}0$ cm diameter section and a wall tap is used downstream on a $10.cm$ diameter section.

Find the following: $[8$ points$]$

a$)$ Pressure at $A($in Pa $)$

b$)$ Pressure at $B($in Pa $)$

c$)$ Pressure at $C($in Pa$)$

d$)$ Water velocity at $A($in $\frac{m}{s})$

e$)$ Water velocity at $B($in $\frac{m}{s})$

f$)$ Water velocity at $C($in $\frac{m}{s})$

Note: you will likely not solve them in this order