In order to solve this problem, we can approach it as a problem of conservation of energy. The equation of energy on the first stage can be written as:
[tex]E_1=m*g*h_1[/tex]On the second stage, the energy will be:
[tex]E_2=m*g*h_2+\frac{m*v^2}{2}[/tex]Thus, equaling both we'll get:
[tex]mgh_1=mgh_2+\frac{mv^2}{2}\Rightarrow gh_1=gh_2+\frac{v^2}{2}[/tex]Isolating v:
[tex]v=\sqrt[\placeholder{⬚}]{2*g*(h_1-h_2)}=\sqrt[\placeholder{⬚}]{2*9.8*(1.6-1.23)}=2.693\frac{m}{s}[/tex]Then, our final velocity is 2.693 m/s
