Q$\mathrm{.}1(30$p$)$ A $0\mathrm{.}75m$ diameter pipe carries $0\mathrm{.}6\frac{m^3}{s}$ of water. At point A$,$ elevation $40m,$ the pipe records $175$kPa pressure, while at point $B,$ elevation $34m$ and $1\mathrm{.}5km$ along the pipe, a similar gauge reads $210$kPa pressure. Determine the flow direction and calculate the friction factor.