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A firefighter a distance d from a burning building directs a stream of water from a fire hose at angle θi above the horizontal as in the figure. If the initial speed of the stream is vi, at what height h does the water strike the building? (Use theta for θi, vi for vi, g for acceleration due to gravity, and d and h as necessary.)

  • physics - ,

    Help will be provided if work is shown

  • physics - ,

    What i have with me is

    vi*sin(theta) - (g*sqrt(2*h/g))

    however it is not correct.

  • physics - ,


  • physics - ,

    Vy = Visin(theta)i
    Vx = Vicos(theta)i

    t=d/Vicos(theta)i <- substitute Vx

    h=Vyt+1/2gt^2 <- since g is -9.8 it . is -g
    h=Vyt-1/2gt^2 <- then substitute

    h=Visin(theta)i x (d/Vicos(theta)i) -1/2g(d/Vicos(theta)i)^2

    now simplify
    h=dtan(theta)i - gd^2/2Vi^2cos^2(theta)i

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