document.write( "Question 1173412: The height \"highlight%28in_feet%29\" of a ball above the ground t seconds after it is thrown is h(t) = 20+32t−16t2. How long will it take for the ball to hit the ground? \n" ); document.write( "
Algebra.Com's Answer #798615 by ikleyn(52778)\"\" \"About 
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document.write( "To answer the problem's question, you need to solve this equation\r\n" );
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document.write( "    -16t^2 + 32t + 20 = 0\r\n" );
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document.write( "and take its larger root.\r\n" );
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document.write( "The equation is equivalent to\r\n" );
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document.write( "    4t^2 - 8t - 5 = 0\r\n" );
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document.write( "Use the quadratic formula\r\n" );
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document.write( "    t = \"%288+%2B-+sqrt%288%5E2+-4%2A4%2A%28-5%29%29%29%2F%282%2A4%29\" = \"%288+%2B-+sqrt%28144%29%29%2F8\" = \"%288+%2B-+12%29%2F8\".\r\n" );
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document.write( "The larger root is  \"%288+%2B+12%29%2F8\" = \"20%2F8\" = 2.5 seconds.\r\n" );
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document.write( "ANSWER.  The ball will hit the ground in 2.5 seconds.\r\n" );
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