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Estimating Muzzle Velocity from Hang-Time Including Air Friction

  1. May 5, 2008 #1
    I made a cannon for physics in school, and now I'm having problems proving its actual muzzle velocity mathematically, from hang-time. Generally people calculate muzzle velocity neglecting friction (v=1/2gt), as if there was no big deal - when there really is huge difference.

    The speeds are relatively fast, so we use this formula:
    All the teachers at my school (swe: "Gymnasium") just scratched their head over this, so I'm turning to this forum.



    //Thanks

    P.S. We shoot golf balls and here are some values to kick around:
    k=0.28
    m=45g
    hangtime=15sec
    v(term)=40m/s

    P.P.S. Here is somebody doing something similar: (hxxp://www).dean.usma.edu/math/pubs/mmm99/C6.HTM

    P.P.P.S. Sorry for messy post.
     
  2. jcsd
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