SOLUTION: While hovering near the top of a waterfall in a national park at 6400 feet, a helicopter pilot accidentally drops his sunglasses. The height h(t) of the sunglasses after t seconds

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Question 250533: While hovering near the top of a waterfall in a national park at 6400 feet, a helicopter pilot accidentally drops his sunglasses. The height h(t) of the sunglasses after t seconds is given by the polynomial function h(t)=-16t^2+6400. When will the sunglasses hit the ground?
The sunglasses will hit the ground after __ seconds.

Answer by dabanfield(803)   (Show Source): You can put this solution on YOUR website!
While hovering near the top of a waterfall in a national park at 6400 feet, a helicopter pilot accidentally drops his sunglasses. The height h(t) of the sunglasses after t seconds is given by the polynomial function h(t)=-16t^2+6400. When will the sunglasses hit the ground?
The sunglasses will hit the ground after __ seconds.
Since the glasses hit the ground at height = 0 we have:
-16t^2 + 6400 = 0 or
16t^2 = 6400
Solving for t we have then:
t^2 = 400
t = +20 or t = -20
t = 20 sec.

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