Given data
*The given speed of the ball is u = 8.20 m/s
*The given height is h = 30.7 m
The formula for the time interval it takes to strike the ground is given by the equation of motion as
[tex]h=ut+\frac{1}{2}gt^2[/tex]*Here g is the acceleration due to gravity.
Substitute the known values in the above expression as
[tex]\begin{gathered} 30.7=8.20t+\frac{1}{2}(9.8)t^2 \\ 30.7=8.20t+4.9t^2 \\ 4.9t^2+8.20t-30.7=0 \\ t=1.80\text{ s} \end{gathered}[/tex]Hence, the time interval it takes to strike the ground is t = 1.80 s
