While hovering near the top of a waterfall in a national park at 46244624 feet, a helicopter pilot accidentally drops his sunglasses. the height h left parenthesis t right parenthesish(t) of the sunglasses after t seconds is given by the polynomial function h left parenthesis t right parenthesis equals negative 16 t squared plus 4624h(t)=−16t2+4624. when will the sunglasses hit the ground?
We are given the function: [tex]h(t)=-16 t^{2} +4624[/tex]
In order to find out when will the sunglasses hit the ground we need to solve this function for t. We start by moving t to the left side and everything ele to the right side: [tex]16 t^{2} =4624[/tex] Now we divide with 16: [tex]t^{2} =289[/tex] Now we take square root: [tex] t_{1} = 17s \\ t_{2} = -17s[/tex] We ignore negative solution as time can not have negative value.
It twill take 17s seconds for the sunglassesto hit the ground.
