document.write( "Question 1104341: A ball is thrown vertically upward from the ground with an initial velocity of 115ft/sec. use h=-16t^2+v0t +h0 Determine when the ball will reach its maximum height. Round to two decimal places \n" ); document.write( "
Algebra.Com's Answer #719101 by ikleyn(52781)\"\" \"About 
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document.write( "The formula for the height is\r\n" );
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document.write( "h(t) = -16t^2 + 115t + 0,   or simply   h(t) = -16t^2 + 115t.    (1)\r\n" );
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document.write( "The right side is a quadratic function.\r\n" );
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document.write( "The quadratic function q(x) = \"ax%5E2+%2B+bx+%2B+c\" with the negative coefficient \"a\" (the general form) has the maximum at x = \"-b%2F%282%2Aa%29\".\r\n" );
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document.write( "In your case, the quadratic function (1) gets its maximum at t = \"-115%2F%282%2A%28-16%29%29\" = 3.59 seconds.\r\n" );
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\n" ); document.write( "To see other similar solved problems of this kind, 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( "The lessons in this site on finding the maximum/minimum of a quadratic function are \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
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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 topics \r
\n" ); document.write( "\n" ); document.write( "\"Projectiles launched/thrown and moving vertically up and dawn\" and\r
\n" ); document.write( "\n" ); document.write( "\"Finding minimum/maximum of quadratic functions\". \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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