KmPlot/Using Sliders/da: Difference between revisions

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A main feature of '''KmPlot''' is to visualize the influence of parameters to the curve of a function.  
En vigtig funktion i '''KmPlot''' er at visualisere parametres betydning for en funktions graf.  


==Moving a Sinus Curve==
==Moving a Sinus Curve==

Revision as of 16:46, 13 October 2010

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

Moving a Sinus Curve

Let's see, how to move a sinus curve left and right:

  • 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.