document.write( "Question 103806This question is from textbook Precalculus A GRAPHING APPROACH
\n" ); document.write( ": My question is given the equation s=-16t^2+initial velocity x t+initial height, a rocket is fired upward from ground level with an initial velocity of 1600 feet/sec. When does the rocket reach its maximum height and how high is it at that time? \n" ); document.write( "
Algebra.Com's Answer #75533 by stanbon(75887)\"\" \"About 
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given the equation s=-16t^2+initial velocity x t+initial height, a rocket is fired upward from ground level with an initial velocity of 1600 feet/sec. When does the rocket reach its maximum height and how high is it at that time?
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\n" ); document.write( "EQUATION:
\n" ); document.write( "s(t) = -16t^2 + 1600x
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\n" ); document.write( "You have a quadratic with a = -16 and b = 1600
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\n" ); document.write( "Maximum height occurs when t = -b/2a = -1600/(-32) = 50 seconds
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\n" ); document.write( "Height at that time is s(50):
\n" ); document.write( "s(50) = -16(50^2) + 1600(50) = 40,000 ft.
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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