The initial velocity of the cork is vo = 11.8 m/s
The angle is θ = 76.4 degrees
The time it takes for the cork to reach the diner is calculated using the formula:
t= 2 vo sin θ / g
t = 2 (11.8) sin 76.4 / 9.81
t = 2.34 s
It will take 2.34 seconds for the cork to reach the diner.