Question

t=√2*h/g para t=? s, h=2000 m, g=10 m/s^2​

Answer 1

$\Large\displaystyle\text{ \begin{gathered} \sf{t=\sqrt{\dfrac{2\cdot h}{g}} } \end{gathered} }$

$\Large\displaystyle\begin{gathered} \sf{ Para:} \end{gathered}$

$\Large\displaystyle\text{ \begin{gathered} \sf{ \begin{cases}\sf t=?\,s\\\sf h=2000\,m\\\sf g=10\,m/s^2\end{cases}} \end{gathered} }$

$\Large\displaystyle\begin{gathered} \sf{ Substituindo\,obtemos:} \end{gathered}$

$\Large\displaystyle\text{ \begin{gathered} \sf{ t=\sqrt{\dfrac{2\cdot2000}{10}}} \end{gathered} }$

$\Large\displaystyle\text{ \begin{gathered} \sf{t=\sqrt{\dfrac{4000}{10}} } \end{gathered} }$

$\Large\displaystyle\text{ \begin{gathered} \sf{ t=\sqrt{400}} \end{gathered} }$

$\Large\displaystyle\text{ \begin{gathered} \boxed{\boxed{\sf{t=20\,s }}} \end{gathered} }$