document.write( "Question 1126657: Nicks height above the water t seconds after diving from a diving board into a pool can be modeled by f(t) = -4.9t2 + 4.9t + 5. What is Nicks maximum height above the water? \n" ); document.write( "

Algebra.Com's Answer #742980 by ikleyn(52781) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "

\r\n" );
document.write( "For a quadratic function  f(t) = at^2 + bt + c  with the negative leading coefficient  a < 0,  the maximal value is achieved at  t = .\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "In your case, the maximum is achieved at  t =  = 0.5 seconds.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The maximum value of the function (which is the maximal height under the question) is\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "     = -4.9*0.5^2 + 4.9*0.5 + 5 = 6.225 meters.\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( "Since I am very smart, I was able to restore the unit of length as meters, even though the problem did not state it explicitly.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "-------------------\r
\n" ); document.write( "
\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( "
\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
\n" ); document.write( "
\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
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );