Question

Una piedra es lanzada verticalmente hacia arriba con una velosidad 50m/s que tan alto subirá?

Answer 1

$Hola$



$\\ ~~~~~~~~~~~~~~~~ Y_f=?~~~~V_f=0~~~~g=9,8m/s\²~~~\\ ~~~~~~~~~~~~\Uparrow\bigg{|} \\ ~~~~~~~~~~~~\Uparrow\bigg{|} \\ ~~~~~~~~~~~~~~~Y_i=0~~~V_i=50m/s \\ \\ \bigstar~Obs: use~la ~gravedad~negativa~siempre~con~la~eferencial \\ \\ Usaremos~la~f\acute{o}rmula~de~Torricelli~\boxed{V_f\²=V_i\²~\pm~2.g.\triangle y}$


$Datos: \\V_f=0 \\ V_i=50m/s \\ g=9,8m/s\² \\ \triangle~y=(Y_f-Y_i)=h \\ \\ Reemplazando~datos~en~la~f\acute{o}rmula~tenemos: \\ \\ 0\²=50\²+2.(-9,8).h \\ \\ -2500=-19,6 h~~---\ \textgreater \ despejando~(h)~tenemos \\ \\ h= \frac{-2500}{-19,6} \\ \\ h=127,551020......~~~---\ \textgreater \ redondeando~seria$

$\boxed{\boxed{h=127,60m}}~~---\ \textgreater \ la~altura~que~subira' \\ \\ \mathbb{qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq} \\ ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~Espero~te~sirva~saludos!!$