$2$ Water flows through the branching pipe shown. Viscous effect are negligible. Volume flow rate at point one $(1)$ is $1\frac{m^3}{s}.$ Take gravity as $9\mathrm{.}81\frac{m}{s^2}.$ Find;

a$)$ Velocity, $V_1$

b$)$ Pressure at section, $P_2$

$40$ marks

$Q_1=1\frac{m^3}{s^{\text{'}}}$

$A_1=0\mathrm{.}1m^2$

$p_1=300$kPa

$z_1=0$

$A_3=0\mathrm{.}035m^2$

$z_3=10m$

$(3)$

$V_2=14\frac{m}{s}$

$(2)$

$(1)$

c$)$ Velocity, V$3$

d$)$ Pressure at section, $P_3$