You are filling a tank with water at 104 ft^3/s. The tank is at an initial water height of 12.0 ft and has an area of 1000 ft^2. You are also draining the tank with a free discharge. The size of the discharge outlet is 0.04 ft^2. At what velocity (in/s) and in which direction is the interface (water level in the tank) moving initially? Note: you can still assume the velocity at the top of the tank is zero to calculate the velocity out the bottom of the tank. Positive value is up, negative value is down.