document.write( "Question 139749: Can you help solve this?
\n" ); document.write( "An arrow is shot upward and outward from atop a 81-foot cliff, with an initial velocity of 132 feet per second. The height of the rocket t seconds after launch is given by the equation h= -16t^2 + 132t +81. Find the greatest altitude reached by the arrow. Round to the nearest foot. \n" ); document.write( "
Algebra.Com's Answer #101901 by ankor@dixie-net.com(22740)\"\" \"About 
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An arrow is shot upward and outward from atop a 81-foot cliff, with an initial velocity of 132 feet per second. The height of the rocket t seconds after launch is given by the equation h= -16t^2 + 132t +81.
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\n" ); document.write( "The max height will occur at the axis of symmetry
\n" ); document.write( "Find the axis of symmetry using the formula: x = -b/(2a);
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\n" ); document.write( "In this equation it would be:
\n" ); document.write( "t = \"%28-132%29%2F%282%2A-16%29\"
\n" ); document.write( "t = \"%28-132%29%2F%28-32%29\"
\n" ); document.write( "t = +4.125 sec the arrow will be at the greatest altitude
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\n" ); document.write( "Find the greatest altitude reached by the arrow. Round to the nearest foot.
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\n" ); document.write( "Substitute 4.125 for t in the given equation
\n" ); document.write( "h = -16(4.125^2) + 132(4.125) + 81
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\n" ); document.write( "h = -16(17.015625) + 544.5 + 81
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\n" ); document.write( "h = -272.25 + 625.5
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\n" ); document.write( "h = 353.25 ~ 353 ft is max height \n" ); document.write( "
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