What is the angle of the hobby rocket?

Derek G asked:


A hobby rocket is launched and reaches 75.5m in hieght an lands
143m from the launch point.

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2 comments to What is the angle of the hobby rocket?

  • My Guess is approximately 15 degrees ? But just a guess.

    I transposed the numbers provided

  • t = (vsinθ)/g
    s = 2t(vcosθ)
    s = 2v^2(cosθ)(sinθ)/g
    v^2sin^2θ = 2gh
    v^2 = (2gh/sin^2θ)
    s = 2(2gh/sin^2θ)(cosθ)(sinθ)/g
    s = (4h/sinθ)(cosθ)
    s = 4h/tanθ
    tanθ = 4h/s
    tanθ = 4*75.5/143
    tanθ = 2.1112
    θ = 64.66°

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