document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=42073>Question 42073</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0321279085/algebrahomeworkh>college algebra gary rockswold</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> I am so confused my head hurts please help me.\r<BR>\n" );
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document.write( "Suppose you throw a baseball straight up at a velocity of 64 feet per second. A function can be created by expressing distance above the ground, s, as a function of time, t. This function is s = -16t2 + v0t + s0 <BR>\n" );
document.write( "•	16 represents 1/2g, the gravitational pull due to gravity (measured in feet per second2). <BR>\n" );
document.write( "•	v0 is the initial velocity (how hard do you throw the object, measured in feet per second).<BR>\n" );
document.write( "•	s0 is the initial distance above ground (in feet). If you are standing on the ground, then s0 = 0.\r<BR>\n" );
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document.write( "a) 	What is the function that describes this problem?<BR>\n" );
document.write( "Answer:   \r<BR>\n" );
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document.write( "b) 	The ball will be how high above the ground after 1 second?<BR>\n" );
document.write( "Answer:	\r<BR>\n" );
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document.write( "Show work in this space.	 \r<BR>\n" );
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document.write( "c) 	How long will it take to hit the ground?<BR>\n" );
document.write( "Answer:	\r<BR>\n" );
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document.write( "Show work in this space.  \r<BR>\n" );
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document.write( "d) 	What is the maximum height of the ball?  What time will the maximum height be attained?<BR>\n" );
document.write( "Answer:  \r<BR>\n" );
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document.write( "Show work in this space.  \r<BR>\n" );
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document.write( "4) 	John has 300 feet of lumber to frame a rectangular patio (the perimeter of a rectangle is 2 times length plus 2 times width). He wants to maximize the area of his patio (area of a rectangle is length times width). What should the dimensions of the patio be, and show how the maximum area of the patio is calculated from the algebraic equation.\r<BR>\n" );
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document.write( "	Show clearly the algebraic steps which prove your dimensions are the maximum area which can be obtained.\r<BR>\n" );
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document.write( "Answer:	\r<BR>\n" );
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document.write( "Show work in this space.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #27312 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=27312\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I can solve the 1st one<BR>\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s+=+-16t%5E2+%2B+v%5B0%5Dt+%2B+s%5B0%5D ALIGN=MIDDLE  ALT=\"s+=+-16t%5E2+%2B+v%5B0%5Dt+%2B+s%5B0%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "v(0) = 64 ft/sec<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s+=+-16t%5E2+%2B+64t+ ALIGN=MIDDLE  ALT=\"s+=+-16t%5E2+%2B+64t+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "v(0) = 64 ft/sec<BR>\n" );
document.write( "after 1 sec<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s+=+-16%281%29%5E2+%2B+64%281%29+ ALIGN=MIDDLE  ALT=\"s+=+-16%281%29%5E2+%2B+64%281%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s+=+-16+%2B+64+ ALIGN=MIDDLE  ALT=\"s+=+-16+%2B+64+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s+=+48+ ALIGN=MIDDLE  ALT=\"s+=+48+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The ball is 48 ft high after 1 sec<BR>\n" );
document.write( "How long will it take to hit the ground?<BR>\n" );
document.write( "The curve for this equation is a parabola with time<BR>\n" );
document.write( "plotted horizontally and distance vertically<BR>\n" );
document.write( "You want to find BOTH times when s=0. The first <BR>\n" );
document.write( "is t=0, when the ball leaves the throwers hand.<BR>\n" );
document.write( "The second time s=0 is when the ball returns to<BR>\n" );
document.write( "ground.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s+=+-16t%5E2+%2B+64t+ ALIGN=MIDDLE  ALT=\"s+=+-16t%5E2+%2B+64t+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0+=+-16t%5E2+%2B+64t+ ALIGN=MIDDLE  ALT=\"0+=+-16t%5E2+%2B+64t+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "rewrite<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=64t+-+16t%5E2+=+0 ALIGN=MIDDLE  ALT=\"64t+-+16t%5E2+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16t%284+-+t%29+=+0 ALIGN=MIDDLE  ALT=\"16t%284+-+t%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "the roots are <BR>\n" );
document.write( "t = 0 (ball leaves hand)<BR>\n" );
document.write( "t = 4 (ball returns to ground)<BR>\n" );
document.write( "The ball takes 4 sec to return to earth<BR>\n" );
document.write( "What is the maximum height of the ball? <BR>\n" );
document.write( "What time will the maximum height be attained?<BR>\n" );
document.write( "The vertex of the parabola is the max height<BR>\n" );
document.write( "The vertex occurs midway between t=0 and t=4, or t=2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s+=+-16%282%29%5E2+%2B+64%282%29+ ALIGN=MIDDLE  ALT=\"s+=+-16%282%29%5E2+%2B+64%282%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s+=+-16%2A4+%2B+128+ ALIGN=MIDDLE  ALT=\"s+=+-16%2A4+%2B+128+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s+=+-64+%2B+128 ALIGN=MIDDLE  ALT=\"s+=+-64+%2B+128\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s+=+64 ALIGN=MIDDLE  ALT=\"s+=+64\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The max height is 64 ft, 2 sec after ball is thrown </SPAN>\n" );
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