A ship moves horizontally to the right at a constant speed \(v_{\text{ship}}\rangle\) relative to the water. A runner on the flat deck of the ship moves horizontally to the right at a constant speed \(v_{\text{runner}}\rangle\) relative to the ship. The runner tosses a small ball vertically upward relative to themself with an initial vertical speed \(v_y\). A deckhand standing motionless on the ship deck observes the motion of the ball. Air resistance is negligible. Which of the following claims correctly compares the maximum height \(h\) above the deck reached by the ball and the total time of flight \(T\) as measured by the runner and the deckhand, with the correct justification?