A rescuer on a helicopter that is 50 feet above the sea drops a lifebelt. The distance from the lifebelt to the sea can be modeled by the equation below, where h (t) represents the lifebelt's height from the sea at any given time, t is the time in seconds, and s is the initial height from the sea, in feet. How long will it take for the lifebelt to reach the sea? Round your answer to the nearest tenth of a second.

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2 April, 04:24

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Kieran Larson · Answer 1

When the lifebelt reaches the sea, h=0 so

-16t^2+50=0

-16t^2=-50

t^2=25/8

t=√ (25/8) seconds

t≈1.8 seconds