Edit in JSFiddle

// don't cache ajax or content won't be fresh
$.ajaxSetup({
    cache: false
});

var feedId = "mthayes";
var apiKey = ""; // not needed for public feeds, use either api key or access key if the feed is not public
var accessKey = "";
var apiBaseUrl = "//www.teleport.nu/api/v1";

// query a 24 hour period, frames 1 hour apart
var startTime = "2013-09-21T01:00:00Z";
var endTime = "2013-09-22T01:00:00Z";
var interval = 3600;

var url = apiBaseUrl + "/frame-query?feedid=" + feedId + "&starttime=" + startTime + "&endtime=" + endTime + "&interval=" + interval + "&apikey=" + apiKey + "&accesskey=" + accessKey;

var frameUrl = apiBaseUrl + "/frame-get?feedid=" + feedId + "&frametime=FRAMETIME" + "&sizecode=480p" + "&apikey=" + apiKey + "&accesskey=" + accessKey;

$("#runButton").click(function () {

    $("#resultImages").html("");

    $.ajax({
        url: url,
        type: "GET",
        success: function (data, textStatus, jqXHR) {
            // got the result
            $("#resultJSON").html(jqXHR.responseText);
            var frameTimes = data.Frames;

            // load the result images (first 10)
            for (var i = 0; i < Math.min(10, frameTimes.length); i++) {
                var frameTime = frameTimes[i];
                var imageTemplate = '<img src="URL" style="max-height: 120px;"/>';
                var frameUrlForTime = frameUrl.replace("FRAMETIME", frameTime);
                imageTemplate = imageTemplate.replace("URL", frameUrlForTime);
                $("#resultImages").append(frameTime);
                $("#resultImages").append("<br/>");
                $("#resultImages").append(imageTemplate);
                $("#resultImages").append("<br/>");
                $("#resultImages").append("<br/>");
            }

        },
        error: function (jqxhr, textStatus, error) {
            $("#resultJSON").html("Error: " + jqxhr.status + ', ' + textStatus + ', ' + error);
        }
    });

});

<button id="runButton">Run</button>
<br/>
<br/>Response JSON:
<div id="resultJSON"></div>
<br/>Response Images:
<div id="resultImages"></div>