Question

h= -t^2 + 8t

a)o instante em que a bola atinge a altura máxima.

b)a altura máxima atingida pela bola.

c)o esboço da parábola que descreve a trajetória da bola.

Answer 1

$\large\boxed{\begin{array}{l}\rm h=-t^2+8t\\\rm\\\sf a)~\rm o\,instante\,em\,que\,ocorre\,a\,altura\,m\acute axima\,\acute e\,no\,x_V.\\\rm a=-1~~b=8~~c=0\\\rm\Delta=b^2-4ac\\\rm\Delta=8^2-4\cdot(-1)\cdot0\\\rm\Delta=64\\\rm x_V=-\dfrac{b}{2a}\\\\\rm x_V=-\dfrac{8}{2\cdot(-1)}=\dfrac{8}{2}=4\\\\\sf b)~\rm A\,altura\,m\acute axima\,ocorre\,no\,y_V\\\rm y_V=-\dfrac{\Delta}{4a}\\\\\rm y_V=-\dfrac{64}{4\cdot(-1)}\\\\\rm y_V=-\dfrac{64}{-4}=16\\\sf c)\,o\,gr\acute afico\,est\acute a\,anexo.\end{array}}$