Water is flowing from section $(1)$ to section $(2)$ through the pipe shown in figure. If $p_1=200$kPa, $p_2=100$kPa and $V_1=20\frac{m}{s},$ what is the velocity of flow at section $(2)$ in $\frac{m}{s}?($ignore the head loss between $(1)$ and $(2)).$

a$)47\mathrm{.}8\frac{m}{s}$

b$)42\mathrm{.}2\frac{m}{s}$

c$)32\mathrm{.}2\frac{m}{s}$

d$)35\mathrm{.}8\frac{m}{s}$

e$)39\mathrm{.}8\frac{m}{s}$