A 6 foot long snake is crawling along the corner of a room. It is moving at a constant 2/3 foot per second while staying tucked snugly against the corner of the room. At the moment that the snake’s

A 6 foot long snake is crawling along the corner of a room. It is moving at a constant 2/3 foot per second while staying tucked snugly against the corner of the room. At the moment that the snake’s head is 4 feet from the corner of the room, how fast is the distance between the head and the tail changing?