document.write( "Question 1140349: A baseball is hit into the air, and its height s in feet after t seconds is given by s(t) = −16t2 + 112t + 2.\r
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Algebra.Com's Answer #760853 by ikleyn(52797)\"\" \"About 
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document.write( "(a)  it is  at t= 0:  s(0) = 2  feet.\r\n" );
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document.write( "(b)  find the maximum of the quadratic function.\r\n" );
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document.write( "     t = x = \"-b%2F%282a%29\" = \"-112%2F%282%2A%28-16%29%29\" = \"112%2F32\" = 3.5 seconds\r\n" );
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document.write( "(c)  \"s%5Bmax%5D\" = s(3.5) = \"-16%2A3.5%5E2+%2B+112%2A3.5+%2B+2\" = 198 feet\r\n" );
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document.write( "(d)  s(t) = 0:   -16*t^2 + 112*t + 2 = 0\r\n" );
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document.write( "                  8t^2 - 56t - 1 = 0\r\n" );
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document.write( "                  t = \"%2856+%2B-+sqrt%2856%5E2+%2B+4%2A8%29%29%2F%282%2A8%29\" = \"%2856+%2B-+56.285%29%2F16\".\r\n" );
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document.write( "                  Only positive root works  t = \"%2856%2B56.285%29%2F16\" = 7.02 seconds.\r\n" );
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\n" ); document.write( "\n" ); document.write( "For details, see the lessons\r
\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.
\n" ); document.write( "Read them attentively and learn how to solve this type of problems once and for all.\r
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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
\n" ); document.write( "\n" ); document.write( "    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.\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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