document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=251522>Question 251522</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Height of a ball. If a ball is thrown straight upward at<BR>\n" );
document.write( "40 feet per second from a rooftop 24 feet above the<BR>\n" );
document.write( "ground, then its height in feet above the ground t seconds<BR>\n" );
document.write( "after it is thrown is given by<BR>\n" );
document.write( "h(t)= 16t2 + 40t + 24.<BR>\n" );
document.write( "a) Find h(0), h(1), h(2), and h(3).<BR>\n" );
document.write( "b) Rewrite the formula with the polynomial factored<BR>\n" );
document.write( "completely.<BR>\n" );
document.write( "c) Find h(3) using the result of part (b).<BR>\n" );
document.write( "If you can, please show the detailed work, thank you </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #183198 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=183198\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Height of a ball. If a ball is thrown straight upward at<BR>\n" );
document.write( "40 feet per second from a rooftop 24 feet above the<BR>\n" );
document.write( "ground, then its height in feet above the ground t seconds<BR>\n" );
document.write( "after it is thrown is given by<BR>\n" );
document.write( "h(t)= 16t^2 + 40t + 24.<BR>\n" );
document.write( "a) Find <BR>\n" );
document.write( " h(0) = 24<BR>\n" );
document.write( " h(1) = -16 + 40 + 24 = 48<BR>\n" );
document.write( " h(2) = -64 + 80 + 24 = 60<BR>\n" );
document.write( " h(3) = -144 + 120 + 24 = 0<BR>\n" );
document.write( "------------------------------------<BR>\n" );
document.write( "b) Rewrite the formula with the polynomial factored<BR>\n" );
document.write( "completely.<BR>\n" );
document.write( "h(t) = (-8)(2t^2 - 5t -3)<BR>\n" );
document.write( "h(t) = -8[2t^2 -6t + t - 3]<BR>\n" );
document.write( "h(t) = -8[2t(t-3)+(t-3)]<BR>\n" );
document.write( "h(t) = -8(t-3)(2t+1)<BR>\n" );
document.write( "-------------------------------<BR>\n" );
document.write( "c) Find h(3) using the result of part (b).<BR>\n" );
document.write( "h(3) = -8(0)(7) = 0<BR>\n" );
document.write( "===============================<BR>\n" );
document.write( "If you can, please show the detailed work, thank you<BR>\n" );
document.write( "===============================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );