Problema Solution

The height of a flare fired from the deck of a ship in distress can be modeled by h=-16t^2+104t+56, where h is the height of the flare above water and t is the time in seconds. Find the time it takes the flare to hit the water.

Answer provided by our tutors

the flare hits the water when h = 0 for some t > 0 that is, we need to solve the following quadratic equation:


-16t^2+104t+56 = 0


by solving we find:


t = 7 sec


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it takes 7 seconds for the flare to hit the water.