Final answer:
The time of flight of the baseball was 0 seconds.
Step-by-step explanation:
To find the time of flight of the baseball, we can use the equation of motion for horizontal motion: d = vxt, where d is the horizontal distance, vx is the horizontal component of velocity, and t is the time of flight. In this case, we are given the values of d = 0 m (since the baseball was caught at home plate), and vx = 27 m/s cos(35°). Solving for t, we have:
t = d / vx = 0 / (27 m/s cos(35°))
In this case, the ball was caught at home plate, so the horizontal distance is 0 meters. Therefore, the time of flight is 0 seconds.