document.write( "Question 1157130: A ball is thrown vertically upward from the ground with an initial velocity of 103 feet per second. When will the ball reach its maximum height? \n" ); document.write( "

Algebra.Com's Answer #779946 by ikleyn(52777) $\"\"$ $\"About$

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document.write( "Looking from the Physics point of view, you simply write\r\n" );
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document.write( "    t = ,\r\n" );
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document.write( "where g is the gravity acceleration (in ft/s^2), u is an initial velocity and t is the time to reach maximum height.\r\n" );
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document.write( "Substituting the data, you momentarily get  \r\n" );
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document.write( "    t =  = 3.218 seconds.\r\n" );
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document.write( "Looking from the School Math/Algebra point of view, you write the equation for the height\r\n" );
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document.write( "    h(t) = -16*t^2 + 103*t,\r\n" );
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document.write( "and from the general theory for the maximum value (vertex) of a parabola you get\r\n" );
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document.write( "    t =  = 3.218 seconds, i.e. the same answer.\r\n" );
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\n" ); document.write( "\n" ); document.write( "On finding the maximum/minimum of a quadratic function see the lessons\r
\n" ); document.write( "\n" ); document.write( "    - HOW TO complete the square to find the minimum/maximum of a quadratic function\r
\n" ); document.write( "\n" ); document.write( "    - Briefly on finding the minimum/maximum of a quadratic function\r
\n" ); document.write( "\n" ); document.write( "    - HOW TO complete the square to find the vertex of a parabola\r
\n" ); document.write( "\n" ); document.write( "    - Briefly on finding the vertex of a parabola\r
\n" ); document.write( "\n" ); document.write( "in this site.\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 \"Finding minimum/maximum of quadratic functions\". \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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