document.write( "Question 1199441: When a ball is thrown upward, its height, h meters, is given by h=1.5+19.6t-4.9t2, where t seconds is the time after it is thrown. For what length of time is the ball higher than 16.2m? \n" ); document.write( "

Algebra.Com's Answer #833321 by ikleyn(52781) $\"\"$ $\"About$

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\n" ); document.write( "When a ball is thrown upward, its height, h meters, is given by h=1.5+19.6t-4.9t2,
\n" ); document.write( "where t seconds is the time after it is thrown.
\n" ); document.write( "For what length of time is the ball higher than 16.2m?
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document.write( "To answer the question, you need to solve this inequality\r\n" );
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document.write( "    1.5 + 19.6t - 4.9t^2 > 16.2.\r\n" );
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document.write( "Transform it to an equivalent inequality\r\n" );
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document.write( "    4.9t^2 - 19.6t + 14.7 < 0\r\n" );
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document.write( "Divide both sides by 4.9\r\n" );
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document.write( "    t^2 - 4t + 3 < 0.\r\n" );
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document.write( "Factor left side\r\n" );
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document.write( "    (t-3)*(t-1) < 0\r\n" );
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document.write( "The solution set is  1 < t < 3.\r\n" );
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document.write( "The ball will be above  16.2 m  for  3 - 1 = 2 seconds.    ANSWER\r\n" );
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