High School

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If an object is dropped from a height of 116 feet, the function [tex]h(t) = -16t^2 + 116[/tex] gives the height after [tex]t[/tex] seconds.

When will the object hit the ground?

Answer :

check the picture below.

[tex]\bf \stackrel{h(t)}{0}=-16t^2+116\implies 16t^2=116\implies t^2=\cfrac{116}{16}
\\\\\\
t^2=\cfrac{29}{4}
\implies
t=\sqrt{\cfrac{29}{4}}[/tex]

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