Given that the speed of the ball is v = 15.6 m/s
The angle is between the ground and the ball is 60 degrees.
The acceleration due to gravity on the moon is g = 1.62 m/s^2
We have to find the time.
The formula to calculate time is
![t=(2v\sin \theta)/(g)](https://img.qammunity.org/2023/formulas/physics/college/toraew1g1ddg82j04aierb9dgaabj74mnb.png)
Substituting the values, the time will be
![\begin{gathered} t=(2*15.6*\sin 60^(\circ))/(1.62) \\ =16.68\text{ seconds} \end{gathered}](https://img.qammunity.org/2023/formulas/physics/college/5xwqgs4op241752ilst2s085jlfoqm3qda.png)
Thus, the time taken is 16.68 seconds.