During a baseball game a fly ball is hit to center field and is caught 115m from home plate. Just when the ball is caught, a runner on third base takes off for home, and the center fielder throws the ball to the catcher standing on home plate. The runner takes 3.5s to reach home, while the baseball is thrown with a velocity whose horizontal component is 41 m/s. Which reaches home first, the runner or the ball, and by how much time?