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A rescuer on a helicopter is 80ft above the sea drops a lifebelt.The distance from the lifebelt to the sea can be modeled by the equation h(t)= -16t²+s, where t is the time, in seconds, after the lifebelt is dropped, and s is the initial height, in feet, of the lifebelt above the sea.How long will it take for the lifebelt to reach the sea? Round your answer to the nearest tenth of a second.​

 Jan 12, 2020
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s = 80         given

when the belt hits the sea   h(t) = 0

 

0 = -16t^2  + 80   solve for t

t^2 = 80/16 = 5

t = sqrt 5 =~~ 2.2 seconds

 Jan 12, 2020

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