question_answer

A horizontal stream of water leaves an opening in the side of a tank. If the opening is h metre above the ground and the stream hits the ground D metre away, then what is the speed of water as it leaves the tank in terms of g, h and D?

Answer:

                 The steam of water leaving the tank behaves like a horizontal projectile and follows parabolic path. \[h=\frac{1}{2}g{{t}^{2}}\] \[\therefore \] \[t=\sqrt{\frac{2h}{g}}\] \[\upsilon =\frac{D}{t}=D\sqrt{\frac{g}{2h}}\]