Consider the tank shown with water flowing in through pipe A and out through pipe B$.$ The

amount of water in the tank does not change with time, the diameter at A is dA$=3\mathrm{.}9$ cm$,$ the

diameter at B is dB$=5\mathrm{.}6$ cm$,$ and the average velocity at A is VA$=2\mathrm{.}5$ m$/$s$.$ The density of water

is $\backslash$rho w$=1000$ kg$/$m$3.$

a$)$ What is the average velocity at B

b$)$ Now, the amount of water in the tank is increasing at $0\mathrm{.}5$ kg$/$s$.$ Everything else is unchanged:

the diameter at A is dA$=3\mathrm{.}9$ cm$,$ the diameter at B is dB$=5\mathrm{.}6$ cm$,$ and the average velocity

at A is VA$=2\mathrm{.}5$ m$/$s$,$ what is the average velocity at B$.$