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Free fall from height h

  1. Dec 3, 2016 #1
    Hi,
    I would need some help with my homework. I am lost.

    Solve free fall from height h to the Earth´s surface in the place with geographical width φ. During solving, omit addiction gravitational acceleration to the distance. (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.

    The result should be y(t)=(gωt^3cosφ)/3. Bud I am not sure, how to get it. I am sure I have to use Coriolisi´s force.

    I tried to use formulas for free fall

    v=v0+gt
    y=y0+v0t+1/2gt^2

    And use Coriolis force Fc=-2mωvsinφ
    And acceleration ac=-2ωv

    I tried also create a differential equation as a

    m (dv/dx)(dx/dt)=-2mωvsinφ, where dx/dt=v

    But no matter what, I still couldn´t get to my result.

    Thank you for your help.
     
  2. jcsd
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