Water is released from a 14m deep reservoir into a 5m wide open channel through a sluice gate with a 1m high opening at the channel bottom. If the flow depth downstream from the gate is measured to be 3m, a) determine the rate of discharge through the gate; b) determine the critical depth , yc at the minimum energy, Es,min; c) determine the critical depth, yc at the current flow; d) determine the alternate depth; e) determine the flow regime (sub- or super- critical) downstream.