EXPERIMENT 13.NUMERICAL ANALYSIS(e) Net force for numerical solution without drag force acting:Fn=-mg(f) Acceleration for numerical solution without drag force actingan=Fn/m(g) Numerical solution to velocity with drag force acting:vn=vn-1+an-1Δt(h) Numerical solution to distance with drag force acting:yn=yn-1+vn-1Δt(the12aΔt2term can be neglected for sufficiently small timesteps)(i) Net force for numerical solution with drag force acting:Fn= 0.22d2v2n-mg(j) Acceleration for numerical solution with drag force actingan=Fn/mPlot velocity and position as functions of time for at least 32 points.Highlight thecolumn of time values. Holding the ctrl key to skip columns, also highlight the twocolumns of velocity values.Then select Chart from the Insert menu and Excel willguide you through the plotting options. Show on this graph the terminal velocity youcalculated. Also plot distance as a function of time, again comparing the drag-free caseto the realistic solution.
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