API response shows recent, not all tweets


I’m developing an iOS app that pulls JSON response of tweets tagged with a specific hashtag from the Twitter API.
My problem is that it shows the most recent tweets, not all. In my case this Twitter section is not that active, so it could easily show an empty table view if no tweet is recent…

Should I be calling the JSON feed in some other way, should I be cache-ing the response or do you guys have any great solutions for me?