document.write( "Question 87764This question is from textbook Intermediate Algebra
\n" ); document.write( ": The quadratic function that models the fireworks’ height s(x) in feet x seconds after they are launched is given by the equation s(x) = -16x^2+200x + 4. When should the fireworks explode so that they go off at the greatest height? What is that height? [Hint: Find the vertex of the quadratic function s(x).] \n" ); document.write( "

Algebra.Com's Answer #63642 by stanbon(75887) $\"\"$ $\"About$

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The quadratic function that models the fireworks’ height s(x) in feet x seconds after they are launched is given by the equation s(x) = -16x^2+200x + 4. When should the fireworks explode so that they go off at the greatest height? What is that height? [Hint: Find the vertex of the quadratic function s(x).]
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\n" ); document.write( "Vertex occurs at x=-b/2a = -200/-32 = 6.25 seconds
\n" ); document.write( "Height at that time = s(6.25) = -16^(6.25)^2+200(6.25)+4 = 668.07 ft
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "

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