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.

7 seconds.

Step-by-step explanation:

We have been given that the height of a flare fired from the deck of a ship in distress can be modeled by , where h is the height of the flare above water and t is the time in seconds.

The ball will hit the ground, when height will be 0 meters, so we will equate to find the time when ball will hit the ground as:

Using quadratic formula, we will get:  

Since time cannot be negative, therefore, it will take 7 seconds for the flare to hit the ground.

x=6 and x=3

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