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While hovering near the top of a waterfall in a national park at 1936 ​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 )equals negative 16 t squared plus 1936. When will the sunglasses hit the​ ground?

Respuesta :

Answer:

11 seconds

Step-by-step explanation:

If the height h(t) of the sunglasses after t seconds is given by the polynomial function

h(t)=-16t²+1936

The sunglasses will hit the ground when the height h(t)=0

h(t)=-16t²+1936=0

-16t²+1936=0

-16t²=-1936

t²=1936/16=121

t=√121=11 seconds

The Sunglasses will hit the ground 11 seconds after it is dropped by the pilot.