A cylindrical tank 1 m in radius rests on a platform 5 m high. Initially the tank is filled with water to a height of 5 m. A plug whose area is 10-4 m2 is removed from an orifice on the side of the tank at the bottom. Calculate

(a) initial speed with which the water flows from the orifice,
(b) initial speed with which water strikes the ground,
(c) time taken to empty the tank to half its original value.