WordPress get youtube image tumbnail

Hello,
Im trying to make a way to were a user can post a video on one our sites with text beneath it. Is there a way to pull in the youtube tumbnail image into a post to use it as its post thumbnail. So example:

I post a youtube video on the site:
IMAGE LINK

Using html/php i pull in the posts on to my website using the below code:

<?php
   $posts = get_posts('cat=3');
   foreach ($posts as $post) : setup_postdata( $post );
?>
   <?php the_date(); echo "<br />"; ?>
   <?php the_title(); ?>
<?php endforeach; ?>

I want to load the image/video and then the title of the post. Not the date/any other content. How can this be done?