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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?

Respuesta :

Rodiak
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.

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