document.write( "Question 969450: A rocket is launched from a cliff and it can be represented by the following function. h(t)= -16t squared + 80t + 384, where x is the time in seconds and h is the height of the rocket. Identify the zeroes of the function.\r
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Algebra.Com's Answer #592398 by lwsshak3(11628)\"\" \"About 
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A rocket is launched from a cliff and it can be represented by the following function. h(t)= -16t squared + 80t + 384, where x is the time in seconds and h is the height of the rocket. Identify the zeroes of the function.
\n" ); document.write( "What is the height of the rocket?
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\n" ); document.write( "h(t)=-16t^2+80t+384
\n" ); document.write( "complete the square:
\n" ); document.write( "h(t)=-16(t^2-5t+25/4)+100+384
\n" ); document.write( "h(t)=-16(t-5/2)^2+484
\n" ); document.write( "This is an equation of a parabola that opens downward with vertex at (5/2, 384)
\n" ); document.write( "maximum height of the rocket is 384 units 2.5 sec after launching
\n" ); document.write( "..
\n" ); document.write( "-16t^2+80t+384=0
\n" ); document.write( "-t^2-5t-24=0
\n" ); document.write( "(-t-3)(t-8)=0
\n" ); document.write( "t=-3
\n" ); document.write( "or
\n" ); document.write( "t=8
\n" ); document.write( "zeros are: -3, 8
\n" ); document.write( "height of rocket depends on time after launch\r
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