T3 (The Old Pipe and the Sea): An old, half-broken pump drives seawater into a boardwalk water-ride at a rate of 0.015 m^3/s. The water begins its journey in a vertical pipe of radius 0.03811 m at a pressure of 1.47 atm. The pipe is then joins another vertical section which has a narrower radius. After climbing a total of 5.2 m, the water exits an open spigot, aimed vertically downward. (a) Find the speed at which the water exits the spigot. (b) Assuming that once the water exits the spigot it is only acted upon by gravity, determine how far the water drops from the spigot before the width of the stream has narrowed by 50%