KmPlot/Using Sliders: Difference between revisions

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[[Image:Kmplot_projectile.png|thumb]]
[[Image:Kmplot_projectile.png|thumb]]
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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.
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.


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* Check the <menuchoice>Slider</menuchoice> option and choose <menuchoice>Slider No. 1</menuchoice> from the drop down list.
* Check the <menuchoice>Slider</menuchoice> option and choose <menuchoice>Slider No. 1</menuchoice> from the drop down list.
* To make the available sliders visible, check <menuchoice>View -> Show Sliders</menuchoice>
* To make the available sliders visible, check <menuchoice>View -> Show Sliders</menuchoice>
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Revision as of 14:19, 11 October 2010

A main feature fo KmPlot is to visualize the influence of parameters to the curve of a function.

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.

Screenshots

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 contant 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.