(6) A firefighter is standing on top of a building 19 m high, holding a firehose 1 m above the top of the building. She finds that if she holds the hose horizontally the water flows from it at 15m/s. As this happens, the water hits an adjacent burning building at a height of 14 m above the ground. (The gravitational acceleration constant is 9.8 m/s.) What is the horizontal distance from the firefighter to the building? (The additional parts on the next page guides you through one possible way of solving this problem.) Firefighter problem (a) Do we need to use a vector-valued function that is 2-D or 3-D? (b) What is the acceleration function for the stream of water? a(t)= (c) Find the initial velocity, the velocity function, the initial position, and the position function for the stream of water. (t)= 5(t)- (d) How long does it take the water to travel from one building to the other?