The ball is undergoing a free fall. Thus there is no initial velocity and the acceleration is accelearation due to gravity.
By the equation of kinematics,
[tex]\begin{gathered} h=ut+\frac{1}{2}gt^2 \\ \Rightarrow9.4=0+\frac{1}{2}\times9.8t^2 \\ \Rightarrow t=1.38\text{ s} \end{gathered}[/tex]The time taken is 1.38 s