Google Apps Script demo of new PositionedImages. See https://mogsdad.wordpress.com.

DemoPositionedImage.gs

/**
 * Demo of PositionedImages.
 * From: gist.github.com/mogsdad/e65826da9974650e2abc
 * See: stackoverflow.com/a/20661113/1677912
 **/
function DemoPositionedImage() {
  // Get handle on active document
  var doc = DocumentApp.getActiveDocument();

  // Find desired image file
  var matchedFiles = DriveApp.getFilesByName('apple-touch-icon.png');
  if (matchedFiles.hasNext()) {
    // Get image object from file
    var image = matchedFiles.next().getBlob(); 

    // Add image as a PositionedImage.
    var positionedImage = doc.getBody().getParagraphs()[0].addPositionedImage(image);

    // Adjust layout, etc. here

    // Log the ID of the new image
    Logger.log( positionedImage.getId() );
  }
}