KmPlot/Using Sliders: Difference between revisions
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A main feature | A main feature of '''KmPlot''' is to visualize the influence of parameters to the curve of a function. | ||
==Moving a Sinus Curve== <!--T:2--> | ==Moving a Sinus Curve== <!--T:2--> | ||
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* Create a new | * Create a new Cartesian plot. | ||
* Enter the equation {{Input|1=f(x,a) = sin(x-a)}} | * Enter the equation {{Input|1=f(x,a) = sin(x-a)}} | ||
* 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. | ||
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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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* Define a | * Define a constant v_0 for the starting velocity. | ||
* Create a new parametric plot | * Create a new parametric plot | ||
* Enter the equations {{Input|1=<nowiki>f_x(t,α) = v_0∙cos(α)∙t | * Enter the equations {{Input|1=<nowiki>f_x(t,α) = v_0∙cos(α)∙t | ||
f_y(t,α) =2+ v_0∙sin(α)∙t−5∙t^2</nowiki>}} | f_y(t,α) = 2+v_0∙sin(α)∙t−5∙t^2</nowiki>}} | ||
* 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. | ||
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[[Image:Kmplot_projectile.gif|center|692px|]] | |||
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[[Category:Education]] | [[Category:Education]] | ||
</translate> | </translate> | ||
Latest revision as of 18:08, 11 October 2010
A main feature of 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.
- Screenshots
-
Input
-
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 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 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.
