\(\displaystyle{\frac{{{4}}}{{{7}{\cos{{40}}}}}}={0.7459}{s}\)

The snowball will be 4 meters from the barn in 0.7459 seconds.

\(\displaystyle{s}={u}{t}+{.5}{a}{t}^{{2}}\)

\(\displaystyle={\left({7}{\sin{{40}}}\right)}\cdot{0.7459}+{.5}\cdot{9.8}\cdot{\left({0.7459}\right)}^{{2}}\)

= 6.083 m

In 0.7459 seconds the ball will fall 6.083 meters.

It will still be 14.0-6.083 = 7.917 meters above the ground.

It will fly over the head of the man and NOT hit him.

The snowball will be 4 meters from the barn in 0.7459 seconds.

\(\displaystyle{s}={u}{t}+{.5}{a}{t}^{{2}}\)

\(\displaystyle={\left({7}{\sin{{40}}}\right)}\cdot{0.7459}+{.5}\cdot{9.8}\cdot{\left({0.7459}\right)}^{{2}}\)

= 6.083 m

In 0.7459 seconds the ball will fall 6.083 meters.

It will still be 14.0-6.083 = 7.917 meters above the ground.

It will fly over the head of the man and NOT hit him.