The position graph is constant at the initial value of position, the velocity graph is constant at zero and the acceleration graph is also constant at zero. The position will increase as the object mo...The position graph is constant at the initial value of position, the velocity graph is constant at zero and the acceleration graph is also constant at zero. The position will increase as the object moves upward, then decrease as it falls back down, in a parabolic fashion because the slope is changing at a constant rate (acceleration is constant so velocity changes at a constant rate, so the slope of the position graph changes constantly).