A fire truck crew uses a hose on a tall ladder of height L above the ground to s

ID: 2295754 • Letter: A

Question

A fire truck crew uses a hose on a tall ladder of height L above the ground to spray water on a

fire in a tall building. The hose nozzle is inclined at angle q above the horizontal. The water is

supplied via underground pipes to the fire hydrant by the town's municipal water tank with water level

located a height H above ground level. Find an expression for the maximum height, S, which the water

can reach. Make a Matlab plot of S as a function of q if H=45 meters and L=8 meters. (Assume that

the area of the tank is much larger than the area of the fire hose.) At what horizontal distance D from

the building should the firefighters position their truck so that the stream of water can reach the highest

possible height S?

a) v = sqrt[2g (h-y)]
b) x = v* sqrt (2y/g)
c) y = 1/2 h for max range, i think you can solve for therest

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