Given data
*The given height is h = 35 m
*The value of the acceleration due to gravity is g = 9.8 m/s^2
The formula for the speed of the lantern is given by the conservation of energy as
[tex]\begin{gathered} U_p=U_k \\ mgh=\frac{1}{2}mv^2 \\ v=\sqrt[]{2gh} \end{gathered}[/tex]Substitute the known values in the above expression as
[tex]\begin{gathered} v=\sqrt[]{2\times9.8\times35} \\ =26.19\text{ m/s} \end{gathered}[/tex]Hence, the speed of the lantern is v = 26.19 m/s
