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 m^2`, is removed from an orifice on the side of the tank at the bottom. Calculate the following :
(a) Initial speed with which the water flows from the orifice.
(b) Initial speed with which the water strikes the ground,
( c) Time taken to empty the tank to half its original value.

Answer

[(i) 10 m/s, (ii) 14.1 m/s, (iii) `-3140 (sqrt(2))/(sqrt(10))[((5)/(2))^(1//2)-(5)^(1//2)`]