[tex]\displaystyle v_0=10\frac{m}{s} \\ \\ E_c=E_p \Rightarrow \frac{mv_0^2}{2} =mgh\Rightarrow mv_0^2=2mgh\Rightarrow v_0^2=2gh \Rightarrow 10^2=2 \cdot 10h \Rightarrow \\ \\ \Rightarrow 100=20h \Rightarrow h=\frac{100}{20} \Rightarrow \mathbf{h=5~m}[/tex]
