Question

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?

Answer 1

We are given the function:

`h(t)=-16 t^(2) +4624`

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:

`16 t^(2) =4624`
Now we divide with 16:

`t^(2) =289`
Now we take square root:

`t_(1) = 17s \\ t_(2) = -17s`
We ignore negative solution as time can not have negative value.

It twill take 17s seconds for the sunglassesto hit the ground.