SOLUTION: Can someone please help me work through this word problem?
A flare is fired directly upward into the air from a boat that is experiencing engine problems. The height of the flar
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Question 324748: Can someone please help me work through this word problem?
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 + 128t + 15. If the flare is designed to explode when it reaches its highest point, at what height will this occur?
Thank you,
Alberto
beto@san.rr.com
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
\ =\ -16t^2\ +\ 128t\ +\ 15)
Note that the graph of 
is a parabola. It opens downward because the lead coefficient is negative, hence the vertex is a maximum. The value of the 
-coordinate of the vertex of a parabola which equation is in standard form is given by:
for this problem:
}\ =\ 4)
hence the maximum height is reached 4 seconds after the flare is fired. The maximum height reached is therefore )
.
\ =\ -16(4)^2\ +\ 128(4)\ +\ 15)
You can do your own arithmetic.
John
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