KmPlot/Brug af skydere

    From KDE UserBase Wiki
    Revision as of 16:46, 13 October 2010 by Claus chr (talk | contribs) (Importing a new version from external source)

    En vigtig funktion i KmPlot er at visualisere parametres betydning for en funktions graf.

    Bevæg en sinuskurve

    Lad os se, hvordan man kan bevæge en sinuskurve til venstre og højre:

    • Create a new Cartesian plot.
    • Enter the equation
      f(x,a) = sin(x-a)
    • Check the Slider option and choose Slider No. 1 from the drop down list.
    • To make the available sliders visible, check View -> Show Sliders

    Now you can move the slider and see how the parameter value modifies the position of the curve.

    Trajectory of a Projectile

    Now let's have a look at the maximum distance of a projectile thrown with different angles. We use a parametric plot depending on an additional parameter which is the angle.

    • Define a constant v_0 for the starting velocity.
    • Create a new parametric plot
    • Enter the equations
      f_x(t,α) = v_0∙cos(α)∙t
      f_y(t,α) = 2+v_0∙sin(α)∙t−5∙t^2
    • Check the Slider option and choose Slider No. 1 from the drop down list.
    • To make the available sliders visible, check View -> Show Sliders

    Now you can move the slider and see how the distance depends on the parameter value.