A liquid discharged from a container through a circular orifice having a diameter of $10mm$ that is located $5m$ from the liquid surface to the center of the orifice.

a$)$ Evaluate the theoretical discharge through the orifice In liters per second.

b$)$ Evaluate the theoretical discharge through the orifice in liters per second if the container is moving upward at an acceleration half that of gravity

c$)$ Evaluate the theoretical discharge through the orifice in liters per second if the coefficient of velocity is $0\mathrm{.}95$ and the coefficient of contraction Is $0\mathrm{.}65$ for the orifice.

Ans: $0\mathrm{.}78,0\mathrm{.}95,0\mathrm{.}48$ Liters$/$sec