The college of engineering has an emergency water tank that is cylindrical and 4 feet high. the tank is initially filled with water at 60°f and has a 3-foot diameter opening to the atmosphere at the top. the outlet at the bottom of the tank with a diameter of 0.5 inches is opened and water begins to empty out of the tank. the average velocity of the water exiting the tank is given by v = (2gh)/2, where h is the height of the water above the center of the outlet port and g is the acceleration due to gravity. ignoring any water loss through the top opening, determine: a) how long it will take for the water level to drop to 2 feet from the bottom; and b) how long it will take to drain the entire tank. citing your archival sources, indicate what the relation between the average velocity (v) and height of the water (h), given above, is known as.