document.write( "Question 1119700: April shoots an arrow upward into the air at a speed of 64 feet per second from a platform that is 34 feet high. The height of the arrow is given by the function h(t) = -16t2 + 64t + 34, where t is the time is seconds. What is the maximum height of the arrow? \n" ); document.write( "

Algebra.Com's Answer #735299 by ikleyn(52781) $\"\"$ $\"About$

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document.write( "To solve the problem, find the maximum of the quadratic function\r\n" );
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document.write( "h(t) = -16t^2 + 64t + 34.\r\n" );
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document.write( "The maximum is at  t= ,  where I refer to the general form of a quadratic function  f(x) = ax^2 + bx + c.\r\n" );
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document.write( "In your case, a = -16,  b = 64,  c = 34,  so the time when h(t) gets maximum is \r\n" );
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document.write( "    t =  =  = 2 seconds.\r\n" );
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document.write( "Substitute this value of t into h(t) = -16t^2 + 64t + 34  to find the maximal height at this moment.\r\n" );
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\n" ); document.write( "\n" ); document.write( "To see other similar solved problems, look into 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( "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( "\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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