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

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 ? 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 ? 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?

Explanation / Answer

this context can be compared to oblique projectile motion of water

the parabolic equatio of projectile y=xtan(theta)-(g /2u2cos2(theta) )x2

here x=D y=S-L on substitution we will get the value of D

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