KmPlot/Using Sliders: Difference between revisions
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Now you can move the slider and see how the parameter value modifies the position of the curve. | Now you can move the slider and see how the parameter value modifies the position of the curve. | ||
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<gallery perrow="3"> | <gallery perrow="3" caption="Screenshots"> | ||
Image:Kmplot_function_with_param.png|Input | Image:Kmplot_function_with_param.png|Input | ||
Image:Kmplot_view_show_sliders.png|Show sliders option | Image:Kmplot_view_show_sliders.png|Show sliders option | ||
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==Trajectory of a Projectile== <!--T:8--> | ==Trajectory of a Projectile== <!--T:8--> | ||
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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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Now you can move the slider and see how the distance depends on the parameter value. | Now you can move the slider and see how the distance depends on the parameter value. | ||
[[Image:Kmplot_projectile.gif|center|692px|]] | |||
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[[Category:Education]] | [[Category:Education]] | ||
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Revision as of 17:26, 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 option and choose from the drop down list.
- To make the available sliders visible, check
Now you can move the slider and see how the parameter value modifies the position of the curve.
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Input
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Show sliders option
-
Slider window
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 option and choose from the drop down list.
- To make the available sliders visible, check
Now you can move the slider and see how the distance depends on the parameter value.