document.write( "Question 212103: A soccer ball is kicked straight up with an initial velocity of 32 ft. per second. Its height above the earth is given by s (t) = -16t2 + 32t, where,‘s’ is the height in ft. at any time, ‘t’ seconds. \r
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\n" ); document.write( "How long after it was thrown up the ball reaches its maximum height?
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Algebra.Com's Answer #160199 by nerdybill(7384)\"\" \"About 
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A soccer ball is kicked straight up with an initial velocity of 32 ft. per second. Its height above the earth is given by s (t) = -16t2 + 32t, where,‘s’ is the height in ft. at any time, ‘t’ seconds.
\n" ); document.write( "What is the maximum height reached by the ball?
\n" ); document.write( "How long after it was thrown up the ball reaches its maximum height?
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\n" ); document.write( "The \"vertex\" of the parabola will give you both.
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\n" ); document.write( "First, find the \"axis of symmetry\":
\n" ); document.write( "t = -b/2a
\n" ); document.write( "t = -32/2(-16)
\n" ); document.write( "t = -32/-32
\n" ); document.write( "t = 1 second (answer to second question)
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\n" ); document.write( "The \"height\" is found by plugging the value above back into:
\n" ); document.write( "s(t) = -16t^2 + 32t
\n" ); document.write( "s(1) = -16(1)^2 + 32(1)
\n" ); document.write( "s(1) = -16 + 32
\n" ); document.write( "s(1) = 16 feet (answer to first question)\r
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