Air carrier flight attendant reported upon landing they heard a noise then the aircraft stopped on the runway due to a blown tire.

Narrative

This is since the plane touched down (as everything was normal during the flight). The moment the wheels hit the ground; I heard a sound that was quite out of the ordinary; and indeed; a few seconds later; the plane came to a stop on the runway. That surprised me; and I could deduce that something was not right or something had happened.Indeed; the captain made an announcement that we would be waiting for the mechanics (that's when I found out that the tire had blown). Time passed; and the passengers were all somewhat impatient about not making it in time for their connecting flight. We provided them with water and snacks; answered questions about connections; and informed them that customer service would be aware that if anyone missed their connection; they would be put on the next flight.The captain made another announcement that buses would come to take them to the terminal.The buses indeed arrived; and we escorted the passengers to the buses (by this time; some were quite irritated).We also had a passenger who couldn't go down the stairs; so we had to wait for another device to assist her down.Once the passenger was on the bus; the crew and I headed to the terminal.There was our base manager; who attended to us and asked if we were okay with everything and then let us go home.