document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=118252>Question 118252</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/9780073268620/algebrahomeworkh>Elementary and Intermediate Algebra </A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Maximum height:<BR>\n" );
document.write( "If a soccer ball is kicked straight up from the ground with an initial velocity of 32 feet per second, then its height above the earth in feet is given by s(t)=-16t2 + 32t where t is time in seconds. Graph this parabola for 0-<t-<2. What is the maximum height reached by the ball? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #86352 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=86352\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If a soccer ball is kicked straight up from the ground with an initial velocity of 32 feet per second, then its height above the earth in feet is given by s(t)=-16t2 + 32t where t is time in seconds. Graph this parabola for 0-<t-<2. What is the maximum height reached by the ball?<BR>\n" );
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document.write( "Maximum occurs when t = -b/2a = -32/(2*-16) = 1 second<BR>\n" );
document.write( "The height when t = 1 second is s(1) = -16(1^2)+32(t) = 16 ft.<BR>\n" );
document.write( "Plot the point (1,16)<BR>\n" );
document.write( "The y-intercept occurs when t=0; s(0) = 0<BR>\n" );
document.write( "Plot the point (0,0).<BR>\n" );
document.write( "Draw a parabola through those two points an opening downward <BR>\n" );
document.write( "because of the negative on -16t^2<BR>\n" );
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document.write( "Graph:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C300%2C-5%2C5%2C-5%2C20%2C-16x%5E2%2B32x%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C300%2C-5%2C5%2C-5%2C20%2C-16x%5E2%2B32x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "==================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );