SO - 19568041

HTML

<input type="text" id="Search" value="Hello World" />

JavaScript

$('#Search').on('mouseup', function() {
    var element = $(this)[0];
    if (this.setSelectionRange) {
        var len = $(this).val().length * 2;
        element.setSelectionRange(len, len);
    }
    else {
        $(this).val($(this).val());
        $(this).focus();
    }
    element.scrollTop = 9999;
});