if ( typeof(WolframAlphaWidget) !== 'object' || WolframAlphaWidget === null ){
    var WolframAlphaWidget = {};
}

WolframAlphaWidget['29858c81fe45027d55d1d2c79841ab9a'] = {
  'id'       : 28557,
  'width'    : 550,
  'height'   : 450,
  'title'    :'\x28Graph\x29 Rolling Distance after Downhill of Tier',
  'theme'    :'blue',
  'output'   :'iframe',
  'popHeight': 1068,
  'rowCount' : 19+0,
  'podSelectBase' : '\x26includepodid\x3DInput\x26includepodid\x3DPlotOfSolutionSet',
  'podSelect': '',
  'initialized' : false
};


WolframAlphaWidget.getInput = function( id ){
    var txt = jQuery('#wolframAlphaWidgetForm'+id+' input[name="querytemplate"]').val()
    if ( !txt || txt=='' ){
        return '';
    }

    var regex = /\${\w+}/g;
    var field = txt.match(regex);

    var param = {};
    var i = '#wolframAlphaWidgetForm'+id;
    var inputs = jQuery(i+' input:text').add(i+' input:checked').add(i+' select');
    for ( var i = 0 ; i < inputs.length ; i++ ){ //>
        var el = jQuery(inputs[i]);
        var name = el.attr('name');
        param[name] = el.val();
    }

    var result = txt;
    if ( field == null ){ return result; }

    for ( var i = 0 ; i < field.length ; i++ ){//>
        var f = field[i].slice(2,-1);               //get field name minus id
        var v = param[f];                           //get field value
        if ( typeof v == 'undefined' ){
          v = '';}
        var regex = new RegExp('\\\${'+f+'}','g');
        result = result.replace(regex,v);
    }

    return result;
}


WolframAlphaWidget.getAllInputs = function( id ){
    var result = '',
        param = {},
        i = '#wolframAlphaWidgetForm'+id,
        inputs = jQuery(i+' input:text').add(i+' input:checked').add(i+' select');
    
    for ( var i = 0 ; i < inputs.length ; i++ ){ //>
        var el = jQuery(inputs[i]);
        result += '&'+encodeURIComponent('input_'+el.attr('name'))+'='+encodeURIComponent(el.val());
    }
    return result;
}



WolframAlphaWidget.widthConstrained = function( wuid ){
    var width = 575;
    try {
        width = WolframAlphaWidget[wuid]['width'];
    }
    catch(e){}
    return ( width > document.body.clientWidth );
}

WolframAlphaWidget.heightConstrained = function( wuid ){
    var height = 450;
    try {
        height = WolframAlphaWidget[wuid]['popHeight'];
    }
    catch(e){}
    return ( height > document.documentElement.clientHeight );
}


WolframAlphaWidget.serializeById = function(wid){
  var i = '#wolframAlphaWidgetForm'+wid;
  var result = "";
  var inputs = jQuery(i+' input:text').add(i+' input:checked').add(i+' input:radio:selected').add(i+' select');
    for ( var i = 0 ; i < inputs.length ; i++ ){ //>
        var el = jQuery(inputs[i]);
        var id = el.attr('id');
        result += '&'+id+'='+encodeURIComponent( el.val() );
    }
  return result;
}


WolframAlphaWidget.loadResultIFrame = function(wid,wuid,input ){
    var podSelect = '',
        output    = '';
    try {
      podSelect = WolframAlphaWidget[wuid]['podSelect'];
      output    = WolframAlphaWidget[wuid]['output'];
    }
    catch(e){}

    var useOpacity = jQuery.browser.msie; 

    var newSrc = "http://www.wolframalpha.com/widget/input/?input="+encodeURIComponent(input)+"&id="+wuid+podSelect;

    if (window.location.protocol === 'https:'){
        newSrc = newSrc.replace('http','https');
    }

    var oldFrame = jQuery("#wolframAlphaWidgetResults"+wid);
    var newFrame = jQuery('<iframe class="wolframAlphaWidgetResults" id="wolframAlphaWidgetResults'+wid+'" width="100%" frameborder="0" style="background: transparent;" src=""></iframe>');

    newFrame.css( 'height', oldFrame.css('height') );

    if ( useOpacity ){
        newFrame.css("opacity","0").css('filter:','alpha(opacity=10)');
        newFrame.load(function(){
            jQuery(this).css("opacity","1").css('filter:','alpha(opacity=100)');
        });
    }
    oldFrame.replaceWith(newFrame);
    newFrame.attr('src',newSrc);

    jQuery('#widgetFooterInput'+wid+' .input').text(input); //fill in little input field
    if ( output == 'lightbox' ){
        WolframAlphaWidget.sizeLightbox(wid);
    }
}

WolframAlphaWidget.popupSubmit = function(wid,wuid,input){
    var podSelect = '',
        popWidth  = 575,
        popHeight = 450,
        rowCount  = 1,
        title     = '',
        theme     = '';
    try {
      podSelect = WolframAlphaWidget[wuid]['podSelect'];
      popWidth  = WolframAlphaWidget[wuid]['width'];
      popHeight = WolframAlphaWidget[wuid]['popHeight'];
      rowCount  = WolframAlphaWidget[wuid]['rowCount'];
      title     = WolframAlphaWidget[wuid]['title'];
      theme     = WolframAlphaWidget[wuid]['theme'];
    }
    catch(e){}

    var url = "http://www.wolframalpha.com/widget/widgetPopup.jsp?p=v&id="+wuid+"&title="+encodeURIComponent(title)+"&theme="+theme+WolframAlphaWidget.serializeById(wid)+"&podSelect="+podSelect;

    var h = Math.min(popHeight,2000);
    var w = Math.min(popWidth, 2000);

    if (window.navigator.appName == "Microsoft Internet Explorer"){
        h += 10;
    }
    else if ( 'WebkitAppearance' in document.documentElement.style ){
        h += rowCount * 4;
    }

    var results = window.open (url,"results","menubar=no,toolbar=no,location=no,scrollbars=yes,resizable=yes,width="+w+",height="+h+"");
    results.focus();
    results.blur();
    results.focus();
}


WolframAlphaWidget.iFrameSubmit = function(wid,wuid,input){
    if ( WolframAlphaWidget.widthConstrained(wuid) ){
        WolframAlphaWidget.popupSubmit(wid,wuid,input,podSelect);
        return;
    }
    jQuery('#wolframAlphaWidget'+wid).addClass('expand').removeClass('collapse');
    WolframAlphaWidget.loadResultIFrame(wid,wuid,input);
}
function wolframAlphaWidget_Init28557(){

    jQuery("#wolframAlphaWidget28557 .submit").click(function(){ jQuery("#wolframAlphaWidgetForm28557").submit(); });

    jQuery("#wolframAlphaWidgetForm28557").submit(function(e){
      e.preventDefault();
      var input = WolframAlphaWidget.getInput( '28557' );
      var popUrl = "https://www.wolframalpha.com/input/?i="+encodeURIComponent(input);
      window.open(popUrl);
    });

  
    jQuery("#eq28557").click(function(){
        var popUrl = "http://www.wolframalpha.com/input/?i="+encodeURIComponent( jQuery("#widgetFooterInput28557 .input").text());
        if (window.location.protocol === 'https:'){
            popUlr = popUrl.replace('http','https');
        } 
        window.open(popUrl);
    }).hover(
        function(){ jQuery("#widgetFooterInput28557").show(); }, 
        function(){ jQuery("#widgetFooterInput28557").hide(); }  
    );
  
    jQuery("#wolframAlphaWidget28557 .close").click(function(){
      jQuery("#wolframAlphaWidget28557").addClass('collapse').removeClass('expand');
    });
  
    jQuery("#wolframAlphaWidget28557 .wawipl_4").click(function(e) {
      if (window.location.href.indexOf("http://www.wolframalpha.com/widgets/") != -1) {
        reportProblem();
        return false;
      }
    });

  
    var wolframWidgetIE = 5;
    var wolframWidgetQuirks = true;

    if (window.navigator.appName == "Microsoft Internet Explorer"){
      if (document.documentMode){
          wolframWidgetIE = document.documentMode;
      }
      else if (document.compatMode){
          wolframWidgetIE = ( document.compatMode == "CSS1Compat" ? 7 : 5 );
      }
    }
    else {
      wolframWidgetIE = false;
    }

    if ( document.compatMode ){
      wolframWidgetQuirks = document.compatMode != 'CSS1Compat';
    }

    //adjustments for quirks mode (most browsers need this)
    if ( wolframWidgetQuirks ){
      jQuery("table.WolframAlphaWidget").css('border-collapse','collapse');

      if ( jQuery.browser.mozilla ){
        jQuery("table.WolframAlphaWidget > tbody > tr:first-child + tr > td.l").css('border-left','2px inset #FFF');
      }
      else if ( !wolframWidgetIE ){
        jQuery("table.WolframAlphaWidget > tbody > tr:first-child + tr > td.r").css('border-right','2px inset #FFF');
      }
 
      if ( wolframWidgetIE ){ //fix popups
        jQuery("#wolframAlphaWidget28557 .wolframAlphaWidgetInfoPopup").css('width','207px');
        jQuery("#wolframAlphaWidget28557 .wolframAlphaWidgetSharePopup").css('width','220px').css('right','-45px');
        
      }

      //fix for :hover selectors
      jQuery("#wolframAlphaWidget28557 .wolframAlphaWidgetInfo").hover(
        function(){ jQuery("#wolframAlphaWidget28557 .wolframAlphaWidgetInfoPopup").show(); }, 
        function(){ jQuery("#wolframAlphaWidget28557 .wolframAlphaWidgetInfoPopup").hide(); }  
      );
      jQuery("#wolframAlphaWidget28557 .wolframAlphaWidgetShare").hover(
        function(){ jQuery("#wolframAlphaWidget28557 .wolframAlphaWidgetSharePopup").show(); }, 
        function(){ jQuery("#wolframAlphaWidget28557 .wolframAlphaWidgetSharePopup").hide(); }  
      );
      
    }
    else {
      if ( wolframWidgetIE == 7 ){
        jQuery("table.WolframAlphaWidget").css('border-collapse','collapse');
        jQuery("#wolframAlphaWidgetBeta28557").css('top','-12px');
      }
    }

    
    if ( wolframWidgetIE !== false && wolframWidgetIE <= 6 ){ //ie6 fixes
      jQuery(".wolframAlphaWidgetContent").attr('align','center');
      jQuery("#wolframAlphaWidgetOverlay28557").css('height','450').css('margin-left','-1px');
    }
    

    //detect cramped container 
    var wolframWidgetWidth = jQuery("#wolframAlphaWidget28557").width();
    var wolframInnerWidth  = jQuery("#widget28557 table").eq(0).width() + 2;

    if ( wolframInnerWidth >= wolframWidgetWidth ){
      jQuery("#wolframAlphaWidget28557").width( wolframWidgetWidth + 32 );
    }

    

    WolframAlphaWidget['29858c81fe45027d55d1d2c79841ab9a']['initialized'] = true;
    try{ wolframAlphaWidget_InitDone28557(); }catch(e){} }

WolframAlphaWidget['29858c81fe45027d55d1d2c79841ab9a'].loadFunctionId = 0;

(function(){ 

    var coreCss28557 = document.createElement('style');
    coreCss28557.setAttribute('type','text/css');
    if ( coreCss28557.styleSheet ){ //IE
        coreCss28557.styleSheet.cssText = 'table\x23wolframAlphaWidget28557,\ndiv\x23wolframAlphaWidget28557\x7B\n  font-family\x3A verdana, sans-serif\x3B\n  font-size\x3A 10px\x3B\n  line-height\x3A 12px\x3B\n  word-wrap\x3A normal\x3B\n  white-space\x3A auto\x3B\n  color\x3A \x23000\x3B\n  margin\x3A 12px auto 0\x3B\n  padding\x3A 0\x3B\n  min-width\x3A 140px\x3B\n  background\x3A transparent\x3B\n  border\x3A 0 none\x3B\n -webkit-text-size-adjust\x3A none\x3B  \n  width\x3A 550px\x3B        \n\x7D\n\n\n\x23wolframAlphaWidgetOverlay28557,\n\x23wolframAlphaWidgetResults28557 \x7B\n  height\x3A 450px\x3B\n\x7D\n\n\n\x23wolframAlphaWidget28557 tr,\n\x23wolframAlphaWidget28557 tr th,\n\x23wolframAlphaWidget28557 tr td,\n\x23wolframAlphaWidget28557 form \x7B\n  position\x3A static\x3B\n  margin\x3A 0\x3B\n  padding\x3A 0\x3B\n  vertical-align\x3A middle\x3B\n\x7D\n\n\n\x23wolframAlphaWidget28557 tr th \x7B\n  color\x3A white\x3B\n\x7D\n\n\x23wolframAlphaWidget28557 table.wolframAlphaWidgetContent td \x7B\n  padding-right\x3A 2px\x3B\n\x7D\n\n\x23wolframAlphaWidget28557 table.wolframAlphaWidgetContent table.submit td \x7B\n  padding\x3A 0\x3B\n\x7D\n\n\x23wolframAlphaWidget28557 table,\n\x23wolframAlphaWidget28557 form,\n\x23wolframAlphaWidget28557 fieldset,\n\x23wolframAlphaWidget28557 table.wolframAlphaWidgetContent table.submit \x7B\n  border\x3A 0 none\x3B\n  background\x3A transparent none\x3B\n\x7D\n\n\n\x2F\x2A footer popups \x2F links \x2A\x2F\n\x23wolframAlphaWidget28557 .wolframAlphaWidgetInfo,\n\x23wolframAlphaWidget28557 .wolframAlphaWidgetShare,\n\x23wolframAlphaWidget28557 .wolframAlphaWidgetInfo a,\n\x23wolframAlphaWidget28557 .wolframAlphaWidgetShare a \x7B\n  font-size\x3A 11px\x3B\n  line-height\x3A 17px\x3B\n  color\x3A \x23555\x3B \n  text-decoration\x3A none\x3B\n  outline\x3A none\x3B\n  font-family\x3A arial, sans-serif\x3B\n  font-weight\x3A bold\x3B\n\x7D\n\n\x23wolframAlphaWidget28557 .wolframAlphaWidgetInfoPopup a\x3Ahover,\n\x23wolframAlphaWidget28557 .wolframAlphaWidgetSharePopup a\x3Ahover \x7B\n  color\x3A \x23ed602f\x3B\n\x7D\n\n\x23wolframAlphaWidget28557 .wolframAlphaWidgetInfoPopup a b,\n\x23wolframAlphaWidget28557 .wolframAlphaWidgetSharePopup a b \x7B \n  font-weight\x3A normal\x3B\n  color\x3A \x23ed602f\x3B\n\x7D\n\n\x23wolframAlphaWidget28557 .wolframAlphaWidgetSharePopup a \x7B\n  font-weight\x3A bold\x3B\n  color\x3A \x23fe6518\x3B\n\x7D\n\n\x23wolframAlphaWidget28557 .wolframAlphaWidgetSharePopup a\x3Ahover \x7B\n  color\x3A \x23db0303\x3B\n\x7D\n\n\x23wolframAlphaWidget28557 .wolframAlphaWidgetSharePopup .wawfp_share \x7B\n  border-bottom\x3A 1px solid \x23dadada\x3B\n  padding\x3A 7px 0 11px\x3B\n  margin-bottom\x3A 4px\x3B\n\x7D\n\n\x23wolframAlphaWidget28557 .wolframAlphaWidgetSharePopup .wawfp_share a \x7B\n   font-weight\x3A normal\x3B\n   font-size\x3A 12px\x3B\n\x7D\n\n\n\x23wolframAlphaWidget28557 .wolframAlphaWidgetInfoPopup .poweredby \x7B\n  font-family\x3A arial, sans-serif\x3B\n  font-size\x3A 10px\x3B\n  color\x3A \x23555\x3B\n\x7D\n\n\x23wolframAlphaWidget28557 .wolframAlphaWidgetInfoPopup .poweredby a \x7B\n  display\x3A inline\x3B\n  font-size\x3A 10px\x3B\n  font-weight\x3A normal\x3B\n  color\x3A \x23fe6518\x3B\n\x7D\n\n\x23wolframAlphaWidget28557 .wolframAlphaWidgetInfoPopup .poweredby a\x3Ahover \x7B\n  color\x3A \x23db0303\x3B\n\x7D\n\n\x23wolframAlphaWidget28557 .waWidgetFooter .wawf_rate a, \n\x23wolframAlphaWidget28557 .wawf_getstripe a \x7B\n  color\x3A \x23555\x3B\n  font-family\x3A arial,sans-serif\x3B\n  font-size\x3A 11px\x3B\n  font-weight\x3A bold\x3B\n  text-decoration\x3A none\x3B\n\x7D'; }
    else {
        var text = document.createTextNode('table\x23wolframAlphaWidget28557,\ndiv\x23wolframAlphaWidget28557\x7B\n  font-family\x3A verdana, sans-serif\x3B\n  font-size\x3A 10px\x3B\n  line-height\x3A 12px\x3B\n  word-wrap\x3A normal\x3B\n  white-space\x3A auto\x3B\n  color\x3A \x23000\x3B\n  margin\x3A 12px auto 0\x3B\n  padding\x3A 0\x3B\n  min-width\x3A 140px\x3B\n  background\x3A transparent\x3B\n  border\x3A 0 none\x3B\n -webkit-text-size-adjust\x3A none\x3B  \n  width\x3A 550px\x3B        \n\x7D\n\n\n\x23wolframAlphaWidgetOverlay28557,\n\x23wolframAlphaWidgetResults28557 \x7B\n  height\x3A 450px\x3B\n\x7D\n\n\n\x23wolframAlphaWidget28557 tr,\n\x23wolframAlphaWidget28557 tr th,\n\x23wolframAlphaWidget28557 tr td,\n\x23wolframAlphaWidget28557 form \x7B\n  position\x3A static\x3B\n  margin\x3A 0\x3B\n  padding\x3A 0\x3B\n  vertical-align\x3A middle\x3B\n\x7D\n\n\n\x23wolframAlphaWidget28557 tr th \x7B\n  color\x3A white\x3B\n\x7D\n\n\x23wolframAlphaWidget28557 table.wolframAlphaWidgetContent td \x7B\n  padding-right\x3A 2px\x3B\n\x7D\n\n\x23wolframAlphaWidget28557 table.wolframAlphaWidgetContent table.submit td \x7B\n  padding\x3A 0\x3B\n\x7D\n\n\x23wolframAlphaWidget28557 table,\n\x23wolframAlphaWidget28557 form,\n\x23wolframAlphaWidget28557 fieldset,\n\x23wolframAlphaWidget28557 table.wolframAlphaWidgetContent table.submit \x7B\n  border\x3A 0 none\x3B\n  background\x3A transparent none\x3B\n\x7D\n\n\n\x2F\x2A footer popups \x2F links \x2A\x2F\n\x23wolframAlphaWidget28557 .wolframAlphaWidgetInfo,\n\x23wolframAlphaWidget28557 .wolframAlphaWidgetShare,\n\x23wolframAlphaWidget28557 .wolframAlphaWidgetInfo a,\n\x23wolframAlphaWidget28557 .wolframAlphaWidgetShare a \x7B\n  font-size\x3A 11px\x3B\n  line-height\x3A 17px\x3B\n  color\x3A \x23555\x3B \n  text-decoration\x3A none\x3B\n  outline\x3A none\x3B\n  font-family\x3A arial, sans-serif\x3B\n  font-weight\x3A bold\x3B\n\x7D\n\n\x23wolframAlphaWidget28557 .wolframAlphaWidgetInfoPopup a\x3Ahover,\n\x23wolframAlphaWidget28557 .wolframAlphaWidgetSharePopup a\x3Ahover \x7B\n  color\x3A \x23ed602f\x3B\n\x7D\n\n\x23wolframAlphaWidget28557 .wolframAlphaWidgetInfoPopup a b,\n\x23wolframAlphaWidget28557 .wolframAlphaWidgetSharePopup a b \x7B \n  font-weight\x3A normal\x3B\n  color\x3A \x23ed602f\x3B\n\x7D\n\n\x23wolframAlphaWidget28557 .wolframAlphaWidgetSharePopup a \x7B\n  font-weight\x3A bold\x3B\n  color\x3A \x23fe6518\x3B\n\x7D\n\n\x23wolframAlphaWidget28557 .wolframAlphaWidgetSharePopup a\x3Ahover \x7B\n  color\x3A \x23db0303\x3B\n\x7D\n\n\x23wolframAlphaWidget28557 .wolframAlphaWidgetSharePopup .wawfp_share \x7B\n  border-bottom\x3A 1px solid \x23dadada\x3B\n  padding\x3A 7px 0 11px\x3B\n  margin-bottom\x3A 4px\x3B\n\x7D\n\n\x23wolframAlphaWidget28557 .wolframAlphaWidgetSharePopup .wawfp_share a \x7B\n   font-weight\x3A normal\x3B\n   font-size\x3A 12px\x3B\n\x7D\n\n\n\x23wolframAlphaWidget28557 .wolframAlphaWidgetInfoPopup .poweredby \x7B\n  font-family\x3A arial, sans-serif\x3B\n  font-size\x3A 10px\x3B\n  color\x3A \x23555\x3B\n\x7D\n\n\x23wolframAlphaWidget28557 .wolframAlphaWidgetInfoPopup .poweredby a \x7B\n  display\x3A inline\x3B\n  font-size\x3A 10px\x3B\n  font-weight\x3A normal\x3B\n  color\x3A \x23fe6518\x3B\n\x7D\n\n\x23wolframAlphaWidget28557 .wolframAlphaWidgetInfoPopup .poweredby a\x3Ahover \x7B\n  color\x3A \x23db0303\x3B\n\x7D\n\n\x23wolframAlphaWidget28557 .waWidgetFooter .wawf_rate a, \n\x23wolframAlphaWidget28557 .wawf_getstripe a \x7B\n  color\x3A \x23555\x3B\n  font-family\x3A arial,sans-serif\x3B\n  font-size\x3A 11px\x3B\n  font-weight\x3A bold\x3B\n  text-decoration\x3A none\x3B\n\x7D');
        coreCss28557.appendChild(text);
    }
    document.getElementsByTagName("head")[0].appendChild( coreCss28557 );

    var baseCss = document.getElementById("WolframAlphaBaseStyles");
    if ( typeof(baseCss) === 'undefined' || baseCss === null ){
        baseCss = document.createElement('link');
        baseCss.id = 'WolframAlphaBaseStyles';
        baseCss.type = 'text/css';
        baseCss.rel  = 'stylesheet';
        baseCss.href = '//www.wolframalpha.com/css/widget/base.css';
        document.getElementsByTagName("head")[0].appendChild( baseCss );
    } 

    var blueCss = document.getElementById("WolframAlphaThemeStylesblue");
    if ( typeof(blueCss) === 'undefined' || blueCss === null ){
        blueCss = document.createElement('link');
        blueCss.id = 'WolframAlphaThemeStylesblue';
        blueCss.type = 'text/css';
        blueCss.rel  = 'stylesheet';
        blueCss.href = '//www.wolframalpha.com/css/widget/blue.css';
        document.getElementsByTagName("head")[0].appendChild( blueCss );
    }

    
    if ( typeof(jQuery) === 'function' ){ 
        wolframAlphaWidget_Load28557();
    }
    else {
        if ( typeof(WolframAlphaWidget.loadJQuery) === 'undefined' || WolframAlphaWidget.loadJQuery !== true ){
            WolframAlphaWidget.loadJQuery = true;  
            var wawjs = document.createElement('script');
	
          // wawjs.src = '//ajax.googleapis.com/ajax/libs/jquery/1.5.1/jquery.min.js';
	   wawjs.src = '//ajax.googleapis.com/ajax/libs/jquery/1.5.1/jquery.min.js';
	   
            document.getElementsByTagName('body')[0].appendChild(wawjs);
        }
        
        WolframAlphaWidget['29858c81fe45027d55d1d2c79841ab9a'].loadFunctionId = setInterval("wolframAlphaWidget_Load28557()",50);
    }

})();

function wolframAlphaWidget_Load28557(){
  if ( typeof(jQuery) === 'function' ){ 
    jQuery("#WolframAlphaScript29858c81fe45027d55d1d2c79841ab9a").after( jQuery('\x3Cdiv class\x3D\"WolframAlphaWidgetLarge blueWidgetTheme collapse\" style\x3D\"position\x3A relative\x3B \" id\x3D\"wolframAlphaWidget28557\"\x3E\x3Cdiv class\x3D\"waw_header \"\x3E\x3Cdiv class\x3D\"l\" \x3E\x3C\x2Fdiv\x3E\n      \x26\x23x28\x3BGraph\x26\x23x29\x3B Rolling Distance after Downhill of Tier\x3Cdiv class\x3D\"r\"\x3E\x3C\x2Fdiv\x3E\x3Cdiv class\x3D\"close\"\x3E\x3C\x2Fdiv\x3E\x3C\x2Fdiv\x3E\x3Cdiv class\x3D\"wolframAlphaWidgetBody \"\x3E\x3Cform action\x3D\"http\x3A\x2F\x2Fwww.wolframalpha.com\x2Finput\x2F\" id\x3D\"wolframAlphaWidgetForm28557\"\x3E\x3Cfieldset\x3E\n           \x3Ctable class\x3D\"wolframAlphaWidgetContent\"\x3E \x3Ctr\x3E \x3Ctd\x3ERelationship among Green Speed,\x3C\x2Ftd\x3E \x3C\x2Ftr\x3E \x3Ctr\x3E \x3Ctd\x3ESlope Angle, Height of Tier,\x3C\x2Ftd\x3E \x3C\x2Ftr\x3E \x3Ctr\x3E \x3Ctd\x3Eand Rolling Distance after Downhill of Tier.\x3C\x2Ftd\x3E \x3C\x2Ftr\x3E \x3Ctr\x3E \x3Ctd\x3EWhen a golf ball starts to roll down naturally at the top of Tier,\x3C\x2Ftd\x3E \x3C\x2Ftr\x3E \x3Ctr\x3E \x3Ctd\x3Eit rolls L\x5Bmeter\x5D distance along the bottom of the tier.\x3C\x2Ftd\x3E \x3C\x2Ftr\x3E \x3Ctr\x3E \x3Ctd\x3EL \x3D \x28g -1\x29\x2Fg Gs \x28Vn\x2FVs\x29\x5E2 H\x2Fh\x3C\x2Ftd\x3E \x3C\x2Ftr\x3E \x3Ctr\x3E \x3Ctd\x3ERolling Distance \x28L\x29\x3C\x2Ftd\x3E \x3Ctd\x3E\x3Cinput type\x3D\"text\" maxlength\x3D\"200\" id\x3D\"i0\" name\x3D\"L\" value\x3D\"2\" size\x3D\"12\"\x2F\x3E\x3C\x2Ftd\x3E \x3Ctd\x3E\x5Bm\x5D\x3C\x2Ftd\x3E \x3C\x2Ftr\x3E \x3Ctr\x3E \x3Ctd\x3EHeight of Tier \x28H\x29\x3C\x2Ftd\x3E \x3Ctd\x3E\x3Cinput type\x3D\"text\" maxlength\x3D\"200\" id\x3D\"i1\" name\x3D\"H\" value\x3D\"0.2606\" size\x3D\"12\"\x2F\x3E\x3C\x2Ftd\x3E \x3Ctd\x3E\x5Bm\x5D\x3C\x2Ftd\x3E \x3C\x2Ftr\x3E \x3Ctr\x3E \x3Ctd\x3ESlope Angle min \x28x-axis\x29\x3C\x2Ftd\x3E \x3Ctd\x3E\x3Cinput type\x3D\"text\" maxlength\x3D\"200\" id\x3D\"i2\" name\x3D\"x_min\" value\x3D\"0\" size\x3D\"12\"\x2F\x3E\x3C\x2Ftd\x3E \x3Ctd\x3E\x5B\x25\x5D\x3C\x2Ftd\x3E \x3C\x2Ftr\x3E \x3Ctr\x3E \x3Ctd\x3ESlope Angle max\x3C\x2Ftd\x3E \x3Ctd\x3E\x3Cinput type\x3D\"text\" maxlength\x3D\"200\" id\x3D\"i3\" name\x3D\"x_max\" value\x3D\"100\" size\x3D\"12\"\x2F\x3E\x3C\x2Ftd\x3E \x3C\x2Ftr\x3E \x3Ctr\x3E \x3Ctd\x3EGreen Speed\x28Gs\x29 min \x28y-axis\x29\x3C\x2Ftd\x3E \x3Ctd\x3E\x3Cinput type\x3D\"text\" maxlength\x3D\"200\" id\x3D\"i4\" name\x3D\"y_min\" value\x3D\"4\" size\x3D\"12\"\x2F\x3E\x3C\x2Ftd\x3E \x3Ctd\x3E\x5Bft\x5D\x3C\x2Ftd\x3E \x3C\x2Ftr\x3E \x3Ctr\x3E \x3Ctd\x3EGreen Speed\x28Gs\x29 max\x3C\x2Ftd\x3E \x3Ctd\x3E\x3Cinput type\x3D\"text\" maxlength\x3D\"200\" id\x3D\"i5\" name\x3D\"y_max\" value\x3D\"15\" size\x3D\"12\"\x2F\x3E\x3C\x2Ftd\x3E \x3C\x2Ftr\x3E \x3Ctr\x3E \x3Ctd\x3E\x3Cdiv class\x3D\"wolframAlphaWidgetSpacer\"\x3E\x3C\x2Fdiv\x3E\x3C\x2Ftd\x3E \x3Ctd\x3E\x3Ctable class\x3D\"submit\" cellpadding\x3D\"0\" cellspacing\x3D\"0\"\x3E\x3Ctr\x3E\x3Ctd class\x3D\"l\"\x3E\x3C\x2Ftd\x3E\x3Ctd class\x3D\"m\"\x3EGraph\x3C\x2Ftd\x3E\x3Ctd class\x3D\"r\"\x3E\x3C\x2Ftd\x3E\x3C\x2Ftr\x3E\x3C\x2Ftable\x3E\x3C\x2Ftd\x3E \x3C\x2Ftr\x3E \x3Ctr\x3E \x3Ctd\x3Eg\x3A Sope Standards g\x3C\x2Ftd\x3E \x3C\x2Ftr\x3E \x3Ctr\x3E \x3Ctd\x3Eh\x3A height of Stimpmeter\x280.2606m\x29\x3C\x2Ftd\x3E \x3C\x2Ftr\x3E \x3Ctr\x3E \x3Ctd\x3EInitial Speed of Stimpmeter \x3A Vs\x3D 1.83m\x2Fs\x3C\x2Ftd\x3E \x3C\x2Ftr\x3E \x3Ctr\x3E \x3Ctd\x3EInitial Speed of Stimpmeter\x28No Friction\x29 \x3A Vn\x3D 1.91m\x2Fs\x3C\x2Ftd\x3E \x3C\x2Ftr\x3E \x3Ctr\x3E \x3Ctd\x3EFor exsample, in case of Gs\x3D7.5ft, 50\x25 inclination, H\x3D0.45m,\x3C\x2Ftd\x3E \x3C\x2Ftr\x3E \x3Ctr\x3E \x3Ctd\x3Eit can calculate L \x3D3.401m\x2811.16ft\x29.\x3C\x2Ftd\x3E \x3C\x2Ftr\x3E \x3C\x2Ftable\x3E \x3Cinput type\x3D\"hidden\" name\x3D\"i\" id\x3D\"i\" value\x3D\"\" \x2F\x3E\x3Cinput type\x3D\"hidden\" name\x3D\"querytemplate\" id\x3D\"querytemplate\" value\x3D\"ContourPlot\x5B\x24\x7BL\x7D\x3D\x28y\x2A0.3048\x2A10\x2F7\x2A9.8\x2F1.83\x5E2-100\x2Fx\x29\x2A\x24\x7BH\x7D,\x7Bx, \x24\x7Bx_min\x7D, \x24\x7Bx_max\x7D\x7D, \x7By, \x24\x7By_min\x7D, \x24\x7By_max\x7D\x7D\x5D\"\x2F\x3E\x3C\x2Ffieldset\x3E\x3C\x2Fform\x3E\x3C\x2Fdiv\x3E\x3Cdiv class\x3D\"wolframAlphaWidgetOutput\"\x3E\x3Cdiv  class\x3D\"wolframAlphaWidgetComputingOverlay\" id\x3D\"wolframAlphaWidgetOverlay28557\"\x3E\x3Cdiv class\x3D\"wolframAlphaWidgetComputingSpinner\"\x3EComputing...\x3C\x2Fdiv\x3E\x3C\x2Fdiv\x3E\x3Ciframe class\x3D\"wolframAlphaWidgetResults\" id\x3D\"wolframAlphaWidgetResults28557\" width\x3D\"100\x25\" frameborder\x3D\"0\" style\x3D\"height\x3A 450px\x3B background\x3A transparent\x3B\" src\x3D\"\"\x3E\x3C\x2Fiframe\x3E\x3C\x2Fdiv\x3E\x3Cdiv class\x3D\"waWidgetFooter\"\x3E\x3Cdiv class\x3D\"l\"\x3E\x3C\x2Fdiv\x3E\x3Cdiv class\x3D\"r\"\x3E\x3C\x2Fdiv\x3E\x3Cdiv class\x3D\"wawf_rate\"\x3E\x3Ca href\x3D\"http\x3A\x2F\x2Fwww.wolframalpha.com\x2Fwidgets\x2Fgallery\x2Fview.jsp\x3Fid\x3D29858c81fe45027d55d1d2c79841ab9a\" target\x3D\"_blank\"\x3EGet this widget\x3C\x2Fa\x3E\x3C\x2Fdiv\x3E\x3Ca href\x3D\"http\x3A\x2F\x2Fwww.wolframalpha.com\" class\x3D\"logo \" target\x3D\"_blank\"\x3E\x3C\x2Fa\x3E\x3Cdiv class\x3D\"wolframAlphaWidgetInfo\"\x3E\x3Cdiv class\x3D\"wolframAlphaWidgetInfoPopup\"\x3E\x3Cdiv class\x3D\"wawfp_top\"\x3E\x3C\x2Fdiv\x3E\x3Ca class\x3D\"wawipl_1\" href\x3D\"http\x3A\x2F\x2Fdeveloper.wolframalpha.com\x2Fwidgetbuilder\x2F\" target\x3D\"_blank\"\x3EBuild your own widget\x26nbsp\x3B\x3Cb\x3E\x26raquo\x3B\x3C\x2Fb\x3E\x3C\x2Fa\x3E\x3Ca class\x3D\"wawipl_2\" href\x3D\"http\x3A\x2F\x2Fwww.wolframalpha.com\x2Fwidgets\x2Fgallery\x2F\" target\x3D\"_blank\"\x3EBrowse widget gallery\x26nbsp\x3B\x3Cb\x3E\x26raquo\x3B\x3C\x2Fb\x3E\x3C\x2Fa\x3E\x3Ca class\x3D\"wawipl_3\" href\x3D\"http\x3A\x2F\x2Fwww.wolframalpha.com\x2Fwidgets\x2F\" target\x3D\"_blank\"\x3ELearn more\x26nbsp\x3B\x3Cb\x3E\x26raquo\x3B\x3C\x2Fb\x3E\x3C\x2Fa\x3E\x3Ca class\x3D\"wawipl_4\" href\x3D\"http\x3A\x2F\x2Fwww.wolframalpha.com\x2Fwidgets\x2Fgallery\x2Fview.jsp\x3Fid\x3D29858c81fe45027d55d1d2c79841ab9a\x26reportprob\x3D1\" target\x3D\"_blank\"\x3EReport a problem\x26nbsp\x3B\x3Cb\x3E\x26raquo\x3B\x3C\x2Fb\x3E\x3C\x2Fa\x3E\x3Cspan class\x3D\"poweredby\"\x3EPowered by \x3Ca href\x3D\"http\x3A\x2F\x2Fwww.wolframalpha.com\" target\x3D\"_blank\"\x3EWolfram\x7CAlpha\x3C\x2Fa\x3E\x3Cbr\x2F\x3E\x3Ca href\x3D\"http\x3A\x2F\x2Fdeveloper.wolframalpha.com\x2Fwidgetterms.html\" target\x3D\"_blank\"\x3ETerms of use\x3C\x2Fa\x3E\x3C\x2Fspan\x3E\x3Cdiv class\x3D\"wawfp_bot\"\x3E\x3C\x2Fdiv\x3E\x3C\x2Fdiv\x3E\x3C\x2Fdiv\x3E\x3Cdiv class\x3D\"wolframAlphaWidgetShare\"\x3E\x3Cdiv class\x3D\"wolframAlphaWidgetSharePopup\"\x3E\x3Cdiv class\x3D\"wawfp_top\"\x3E\x3C\x2Fdiv\x3E\x3Cp\x3EShare a link to this widget\x3A\x3C\x2Fp\x3E\x3Cdiv class\x3D\"wawfp_share\"\x3E\x3Ca class\x3D\"wawfp_fb\" href\x3D\"http\x3A\x2F\x2Fwww.facebook.com\x2Fshare.php\x3Fu\x3Dhttp\x253a\x252f\x252fwww.wolframalpha.com\x252fwidgets\x252fgallery\x252fview.jsp\x253fid\x253d29858c81fe45027d55d1d2c79841ab9a\" target\x3D\"_blank\"\x3E\x3C\x2Fa\x3E\x3Ca class\x3D\"wawfp_tw\" href\x3D\"http\x3A\x2F\x2Ftwitter.com\x2Fhome\x3Fstatus\x3Dhttp\x253a\x252f\x252fwww.wolframalpha.com\x252fwidgets\x252fgallery\x252fview.jsp\x253fid\x253d29858c81fe45027d55d1d2c79841ab9a\" target\x3D\"_blank\"\x3E\x3C\x2Fa\x3E\x3Ca class\x3D\"wawfp_dl\" href\x3D\"http\x3A\x2F\x2Fdel.icio.us\x2Fpost\x3Furl\x3Dhttp\x253a\x252f\x252fwww.wolframalpha.com\x252fwidgets\x252fgallery\x252fview.jsp\x253fid\x253d29858c81fe45027d55d1d2c79841ab9a\x26title\x3D\" target\x3D\"_blank\"\x3E\x3C\x2Fa\x3E\x3Ca class\x3D\"wawfp_dg\" href\x3D\"http\x3A\x2F\x2Fdigg.com\x2Fsubmit\x3Furl\x3Dhttp\x253a\x252f\x252fwww.wolframalpha.com\x252fwidgets\x252fgallery\x252fview.jsp\x253fid\x253d29858c81fe45027d55d1d2c79841ab9a\x26phase\x3D2\" target\x3D\"_blank\"\x3E\x3C\x2Fa\x3E\x3Ca class\x3D\"wawfp_more\" href\x3D\"http\x3A\x2F\x2Fwww.wolframalpha.com\x2Fwidgets\x2Fgallery\x2Fview.jsp\x3Fid\x3D29858c81fe45027d55d1d2c79841ab9a\" target\x3D\"_blank\"\x3EMore\x3C\x2Fa\x3E\x3Cbr style\x3D\"clear\x3A both\x3B\" \x2F\x3E\x3C\x2Fdiv\x3E\x3Ca href\x3D\"http\x3A\x2F\x2Fwww.wolframalpha.com\x2Fwidgets\x2Fgallery\x2Fview.jsp\x3Fid\x3D29858c81fe45027d55d1d2c79841ab9a\" target\x3D\"_blank\"\x3EEmbed this widget\x26nbsp\x3B\x26raquo\x3B\x3C\x2Fa\x3E\x3Cdiv class\x3D\"wawfp_bot\"\x3E\x3C\x2Fdiv\x3E\x3C\x2Fdiv\x3E\x3C\x2Fdiv\x3E\n\x3Cdiv class\x3D\"alphaInput\" style\x3D\"display\x3A none\x3B\" id\x3D\"widgetFooterInput28557\"\x3E\x3Cdiv class\x3D\"left\"\x3E\x3C\x2Fdiv\x3E\x3Cdiv class\x3D\"input\"\x3E\x3C\x2Fdiv\x3E\x3Cdiv class\x3D\"right\"\x3E\x3C\x2Fdiv\x3E\x3C\x2Fdiv\x3E\x3Cdiv id\x3D\"eq28557\" class\x3D\"equal\"\x3E\x3C\x2Fdiv\x3E\x3C\x2Fdiv\x3E\x3Cdiv class\x3D\"wolframAlphaWidgetBeta\" id\x3D\"wolframAlphaWidgetBeta28557\"\x3E\x3C\x2Fdiv\x3E\x3C\x2Fdiv\x3E') );

    clearInterval( WolframAlphaWidget['29858c81fe45027d55d1d2c79841ab9a'].loadFunctionId );

    if ( 'WebkitAppearance' in document.documentElement.style ){ //get around webkit document.ready bug
        var _timer = setInterval(function() {
            if (/loaded|complete/.test(document.readyState)) {
              clearInterval(_timer);
              try{ wolframAlphaWidget_Init28557(); }catch(e){}
            }
        }, 10);
    }
  
    else {
      jQuery(document).ready( function(){ try{wolframAlphaWidget_Init28557();}catch(e){} });
    }
  }
}