document.write( "Question 1185585: A ball is thrown directly upward from a height of 4 ft with an initial velocity of 24 ft/sec. The function s(t) gives the height of the ball, in feet, t seconds after it has been thrown. Determine the time at which the ball reaches its maximum height and find the maximum height.
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Algebra.Com's Answer #816407 by ikleyn(52778) $\"\"$ $\"About$

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\n" ); document.write( "A ball is thrown directly upward from a height of 4 ft with an initial velocity of 24 ft/sec.
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\n" ); document.write( "Determine the time at which the ball reaches its maximum height and find the maximum height.
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document.write( "The function s(t) is  s(t) = -16t^2 + 24t + 4.\r\n" );
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document.write( "The maximum height is reached when the quadratic function s(t) reaches its maximum.\r\n" );
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document.write( "It happens when  t = \" - \", referring to the general form of a quadratic equation.\r\n" );
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document.write( "In your case a = -16, b = 24, THEREFORE,   =  =  =  of a second = 0.75 seconds.\r\n" );
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document.write( "The maximum height then is the height at t =  = 0.75 seconds\r\n" );
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document.write( "     = -16*0.75^2 + 24*0.75 + 4 = 13 ft.\r\n" );
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document.write( "ANSWER.   = 0.75 seconds;   = 13 ft.\r\n" );
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\n" ); document.write( "\n" ); document.write( "To see many other solved similar and different problems, see the lessons\r
\n" ); document.write( "\n" ); document.write( "    - Introductory lesson on a projectile thrown-shot-launched vertically up \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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