document.write( "Question 1171618: You are trying to dunk a basketball. You need to jump 2.5ft in the air to dunk the ball. The height that your feet are above the ground is given by the function h(t)=-16t^2 +12t. What is the maximum height your feet will be above ground? Will you be able to dunk the basketball? \n" ); document.write( "

Algebra.Com's Answer #796531 by ikleyn(52781) $\"\"$ $\"About$

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document.write( "It is about finding the maximum of the quadratic function\r\n" );
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document.write( "    h(t) = -at^2 + bt + c.\r\n" );
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document.write( "The maximum is reached at t= - .\r\n" );
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document.write( "In your case,  a= -16, b= 12.\r\n" );
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document.write( "Therefore, the answer to the problem's question is  \r\n" );
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document.write( "    t = -  =  =  seconds.\r\n" );
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document.write( "The value of the maximum is\r\n" );
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document.write( "     =  = 2.25 ft.\r\n" );
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document.write( "ANSWER.  The maximum height is  2.25 ft.\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
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\n" ); document.write( "\n" ); document.write( "On solving similar problems to yours in this post, 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
\n" ); document.write( "\n" ); document.write( "in this site.\r
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