document.write( "Question 1193392: For numbers 6: Elaine shoots an arrow upward at a speed of 32 feet per second
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Algebra.Com's Answer #825405 by ikleyn(52790)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "For numbers 6: Elaine shoots an arrow upward at a speed of 32 feet per second
\n" ); document.write( "from a bridge that is 28 feet high. The height of the arrow is given by the function h(t) =
\n" ); document.write( "-16t2 + 32t + 28, where t is the time in seconds.
\n" ); document.write( "How long would it take before the arrow reached the ground?
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document.write( "To answer this question, you need to solve equation h(t) = 0,  which is\r\n" );
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document.write( "    -16t^2 + 32t + 28= 0.\r\n" );
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document.write( "Simplify it by dividing both sides by -4\r\n" );
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document.write( "    4t^2 - 8t - 7 = 0,\r\n" );
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document.write( "then apply the quadratic formula \r\n" );
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document.write( "    \"t%5B1%2C2%5D\" = \"%288+%2B-+sqrt%288%5E2+%2B+4%2A4%2A7%29%29%2F%282%2A4%29\" = \"%288+%2B-+sqrt%28176%29%29%2F8\" = \"%288+%2B-+4%2Asqrt%2811%29%29%2F8\" = \"1+%2B+0.5%2Asqrt%2811%29\".\r\n" );
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document.write( "Of the two roots, reject the negative one and accept the positive value.\r\n" );
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document.write( "ANSWER.  The arrow will reach the groind in \"1+%2B+0.5%2Asqrt%2811%29\" = 2.66 seconds (rounded).    ANSWER\r\n" );
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\n" ); document.write( "\n" ); document.write( "In this site,  there is a bunch of lessons on a projectile thrown/shot/launched vertically up\r
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\n" ); document.write( "\n" ); document.write( "    - Problem on a projectile moving vertically up and down\r
\n" ); document.write( "\n" ); document.write( "    - Problem on an arrow shot vertically upward\r
\n" ); document.write( "\n" ); document.write( "    - Problem on a ball thrown vertically up from the top of a tower \r
\n" ); document.write( "\n" ); document.write( "    - Problem on a toy rocket launched vertically up from a tall platform\r
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\n" ); document.write( "\n" ); document.write( "Consider these lessons as your textbook,  handbook,  tutorials and  (free of charge)  home teacher.
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\n" ); document.write( "\n" ); document.write( "Also,  you have this free of charge online textbook in ALGEBRA-I in this site\r
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\n" ); document.write( "\n" ); document.write( "The referred lessons are the part of this textbook under the topic \"Projectiles launched/thrown and moving vertically up and dawn\".\r
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\n" ); document.write( "\n" ); document.write( "Save the link to this online textbook together with its description\r
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\n" ); document.write( "\n" ); document.write( "Free of charge online textbook in ALGEBRA-I
\n" ); document.write( "https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson\r
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\n" ); document.write( "\n" ); document.write( "to your archive and use it when it is needed.\r
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