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Free fall from height h

  1. Dec 3, 2016 #1
    1. The problem statement, all variables and given/known data
    Solve free fall from height h to the Earth´s surface in the place longitude φ. During solving, Consider gravitation acceleration as a constant for the whole trajectory, so g=constant. (consider a homogeneous gravity field) and variables which are including angular speed ω consider for much less then variables including gt. Consider h=100m and
    φ=0 degree.
    Result should be y(t)=(gωt^3cosφ)/3

    2. Relevant equations
    m(dv/dx)(dx/dt)=-2mωvsinφ
    Fc=-2mωvsinφ
    v=v0+gt
    y=y0+v0t+1/2gt^2
    ω=v/r
    3. The attempt at a solution
    Tried to make an differential equations, bude i cant get to my result.
     
    Last edited: Dec 3, 2016
  2. jcsd
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