document.write( "Question 1140923: The altitude of a rocket t seconds after launch is given by the function \r
\n" ); document.write( "\n" ); document.write( "h(t)=-6t^2+32T+3 where h is the height in feet. \r
\n" ); document.write( "\n" ); document.write( "how long after the launch will it take for the rocket to reach it's maximum height?\r
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Algebra.Com's Answer #761456 by rothauserc(4718)\"\" \"About 
You can put this solution on YOUR website!
h(t)= -6t^2 +32T +3
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\n" ); document.write( "be consistent in the formula, I assume T = t, then
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\n" ); document.write( "h(t)= -6t^2 +32t +3
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\n" ); document.write( "the t^2 coefficient does not look right(should be -16 instead of -6) but I will use the formula as you have stated it
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\n" ); document.write( "the x-axis is time and the y-axis is height
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\n" ); document.write( "time when maximum height is reached is the x-coordinate of the parabola's vertex
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\n" ); document.write( "Note the graph of this equation is a parabola that curves downward
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\n" ); document.write( "time when maximum height is reached = -b/2a = -32/2(-6) = 32/12 = 8/3 = 2 and 2/3 seconds
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\n" ); document.write( "Note general form of a quadratic is ax^2 +bx +c
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