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Tennis ball trajectory

  1. Sep 4, 2013 #1
    1. How to get x,y positions for a tennis ball at each time t given total force exerted?


    2. We consider Drag force D, Lift Force L and Gravitation force W

    D=1/2*(0.55+1/((22.5+4.2*(v/(w*R))^2.5)^0.4))*pi*R^2*d*v^2
    L=1/2*(1/(2+(v/(w*R))))*pi*R^2*d*v^2
    W=m*g
    as described in
    http://www.physics.usyd.edu.au/~cross/TRAJECTORIES/42. Ball Trajectories.pdf

    where v, speed; w, angular speed;R, radius;d, density;m, mass

    3. I suppose we need to integrate force twice on time t for Fx and Fy given a Serve Angle Ro and Serve Speed vi, but how?
     
  2. jcsd
  3. Sep 5, 2013 #2

    haruspex

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    As far as I am aware, there is no analytic solution for 2D motion with drag.
     
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