SOLUTION: A flare is fired directly upward into the air from a boat that is experiencing engine problems. The height of the flare (in feet) above the water, t seconds after being fired, is g

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Question 468712: A flare is fired directly upward into the air from a boat that is experiencing engine problems. The height of the flare (in feet) above the water, t seconds after being fired, is given by the formula h = -16t2 + 160t + 6. If the flare is designed to explode when it reaches its highest point, at what height will this occur?

Answer by jorel1380(3719) About Me  (Show Source):
You can put this solution on YOUR website!
Its highest point is midway through its' flight, which is given by:
1/2(-16t2+160t)=0
-8t2+80t=0
80t=8t2
10t=t2
t=10
The highest point is reached after 10 seconds..