document.write( "Question 151131: The baton twirler releases the baton into the air when it is 5 feet above the ground. The initial velocity of the baton is 30 feet per second. The twirler will catch the baton when it falls back to a height of 6 feet. How many seconds is the baton in the air? \n" ); document.write( "
Algebra.Com's Answer #111052 by ankor@dixie-net.com(22740)\"\" \"About 
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The baton twirler releases the baton into the air when it is 5 feet above the ground. The initial velocity of the baton is 30 feet per second. The twirler will catch the baton when it falls back to a height of 6 feet. How many seconds is the baton in the air?
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\n" ); document.write( "The equation for this, s(t)= height, t=time in seconds
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\n" ); document.write( "s(t) = -16t^2 + 30t + 5
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\n" ); document.write( "Find the time that the baton is at 6 ft
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\n" ); document.write( "-16t^2 + 30t + 5 = 6
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\n" ); document.write( "-16t^2 + 30t + 5 - 6 = 0
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\n" ); document.write( "-16t^2 + 30t - 1 = 0
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\n" ); document.write( "use the quadratic formula to solve this
\n" ); document.write( "\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"
\n" ); document.write( "in this equation a=-16; b=30; c=-1
\n" ); document.write( "\"t+=+%28-30+%2B-+sqrt%2830%5E2-+4+%2A-16%2A-1+%29%29%2F%282%2A-16%29+\"
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\n" ); document.write( "\"t+=+%28-30+%2B-+sqrt%28900+-+64+%29%29%2F%28-32%29+\"
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\n" ); document.write( "\"t+=+%28-30+%2B-+sqrt%28836%29%29%2F%28-32%29+\"
\n" ); document.write( "Two solutions:
\n" ); document.write( "\"t+=+%28-30+%2B+28.91%29%2F%28-32%29+\"
\n" ); document.write( "\"t+=+%28-1.09%29%2F%28-32%29+\"
\n" ); document.write( "t = +.034 sec (at 6' on the way up)
\n" ); document.write( "and
\n" ); document.write( "\"t+=+%28-30+-+28.91%29%2F%28-32%29+\"
\n" ); document.write( "\"t+=+%28-58.91%29%2F%28-32%29+\"
\n" ); document.write( "t = +1.84 sec (at 6' on the way down) \n" ); document.write( "
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