When two bodies travel in the same direction at the same speed, their relative velocity equals zero. A person's relative velocity with regard to the chair is zero when he or she sits in it. The chair's relative velocity to the occupant is also zero.
Example- When a ball is thrown upwards on earth with a constant velocity, the gravitational force of the earth acts on it in the opposite direction. At the highest point, the velocity of the ball becomes zero, after which it starts to fall down.