First, convert 78ft into meters.
Recall that 1 meter = 3.28 ft
Convert and we get
[tex]\begin{gathered} 78\text{ ft}\cdot\frac{1\text{ m}}{3.28\text{ ft}} \\ =78\cancel{\text{ ft}}\cdot\frac{1\text{ m}}{3.28\cancel{\text{ ft}}} \\ =\frac{78\text{ m}}{3.28} \\ =23.78\text{ m} \end{gathered}[/tex]Next, divide 23.78 m, to the speed novak dgokovix can serve
[tex]\begin{gathered} 23.78\text{ m}\div55.5\text{ m/s} \\ =23.78\text{ m}\cdot\frac{1\text{ s}}{55.5\text{ m}} \\ =23.78\cancel{\text{ m}}\cdot\frac{1\text{ s}}{55.5\cancel{\text{ m}}} \\ =\frac{23.78\text{ s}}{55.5} \\ =0.4284684\text{ s} \end{gathered}[/tex]Rounding to two decimal places, it will take 0.43 seconds for the ball to reach the opponent.