document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1042711>Question 1042711</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A ball with a camera is thrown up in the air by a person who released it at a height of 1.7m. The ball's sensor took pictures a its maximum height of 33m.<BR>\n" );
document.write( "The ball was not caught and hit the ground at 4.8 seconds after the time it was released. <BR>\n" );
document.write( "Sketch a graph that would model the ball's height versus time. and state the type of function and any key features related to the graph.\r<BR>\n" );
document.write( "\n" );
document.write( "Thanks for your time. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #657767 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=657767\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Use the free-fall equation in meters<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h%28t%29+=+-%281%2F2%29%2A9.8t%5E2+%2B+v%5B0%5D%2At+%2B+h%5B0%5D+ ALIGN=MIDDLE  ALT=\"+h%28t%29+=+-%281%2F2%29%2A9.8t%5E2+%2B+v%5B0%5D%2At+%2B+h%5B0%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h%5B0%5D+=+1.7+ ALIGN=MIDDLE  ALT=\"+h%5B0%5D+=+1.7+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h%28t%29+=+-4.9t%5E2+%2B+v%5B0%5D%2At+%2B+1.7+ ALIGN=MIDDLE  ALT=\"+h%28t%29+=+-4.9t%5E2+%2B+v%5B0%5D%2At+%2B+1.7+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "The formula for the t-value of the vertex is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t%5Bv%5D+=+-b%2F%282a%29+ ALIGN=MIDDLE  ALT=\"+t%5Bv%5D+=+-b%2F%282a%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+=+-4.9+ ALIGN=MIDDLE  ALT=\"+a+=+-4.9+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+v%5B0%5D+ ALIGN=MIDDLE  ALT=\"+b+=+v%5B0%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t%5Bv%5D+=+-v%5B0%5D%2F%282%28-4.9%29%29+ ALIGN=MIDDLE  ALT=\"+t%5Bv%5D+=+-v%5B0%5D%2F%282%28-4.9%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t%5Bv%5D+=+v%5B0%5D+%2F+9.8+ ALIGN=MIDDLE  ALT=\"+t%5Bv%5D+=+v%5B0%5D+%2F+9.8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "------------------------<BR>\n" );
document.write( "You are given that:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h%28t%29+=+-4.9t%5E2+%2B+v%5B0%5D%2At+%2B+1.7+ ALIGN=MIDDLE  ALT=\"+h%28t%29+=+-4.9t%5E2+%2B+v%5B0%5D%2At+%2B+1.7+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "When the ball hits the ground:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+0+=+-4.9t%5E2+%2B+v%5B0%5D%2At+%2B+1.7+ ALIGN=MIDDLE  ALT=\"+0+=+-4.9t%5E2+%2B+v%5B0%5D%2At+%2B+1.7+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+4.8+ ALIGN=MIDDLE  ALT=\"+t+=+4.8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+0+=+-4.9%2A4.8%5E2+%2B+v%5B0%5D%2A4.8+%2B+1.7+ ALIGN=MIDDLE  ALT=\"+0+=+-4.9%2A4.8%5E2+%2B+v%5B0%5D%2A4.8+%2B+1.7+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+0+=+-4.9%2A23.04+%2B+4.8%2Av%5B0%5D+%2B+1.7+ ALIGN=MIDDLE  ALT=\"+0+=+-4.9%2A23.04+%2B+4.8%2Av%5B0%5D+%2B+1.7+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+0+=+-112.896+%2B+1.7+%2B+4.8v%5B0%5D+ ALIGN=MIDDLE  ALT=\"+0+=+-112.896+%2B+1.7+%2B+4.8v%5B0%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4.8v%5B0%5D+=+111.196+ ALIGN=MIDDLE  ALT=\"+4.8v%5B0%5D+=+111.196+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+v%5B0%5D+=+23.1658+ ALIGN=MIDDLE  ALT=\"+v%5B0%5D+=+23.1658+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t%5Bv%5D+=+v%5B0%5D+%2F+9.8+ ALIGN=MIDDLE  ALT=\"+t%5Bv%5D+=+v%5B0%5D+%2F+9.8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t%5Bv%5D+=+23.1658+%2F+9.8+ ALIGN=MIDDLE  ALT=\"+t%5Bv%5D+=+23.1658+%2F+9.8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t%5Bv%5D+=+2.36386+ ALIGN=MIDDLE  ALT=\"+t%5Bv%5D+=+2.36386+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "the equation is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h%28t%29+=+-4.9t%5E2+%2B+23.1658t+%2B+1.7+ ALIGN=MIDDLE  ALT=\"+h%28t%29+=+-4.9t%5E2+%2B+23.1658t+%2B+1.7+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h%5Bv%5D+=+-4.9%2A2.36386%5E2+%2B+23.1658%2A2.36386+%2B+1.7+ ALIGN=MIDDLE  ALT=\"+h%5Bv%5D+=+-4.9%2A2.36386%5E2+%2B+23.1658%2A2.36386+%2B+1.7+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--------------------------------------------<BR>\n" );
document.write( "here's the plot:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h%5Bv%5D+=+-27.3804+%2B+54.7607+%2B+1.7+ ALIGN=MIDDLE  ALT=\"+h%5Bv%5D+=+-27.3804+%2B+54.7607+%2B+1.7+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h%5Bv%5D+=+29.0803+ ALIGN=MIDDLE  ALT=\"+h%5Bv%5D+=+29.0803+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+600%2C+600%2C+-1%2C+7%2C+-5%2C+35%2C+-4.9x%5E2+%2B+23.1658x+%2B+1.7+%29+ ALIGN=MIDDLE  ALT=\"+graph%28+600%2C+600%2C+-1%2C+7%2C+-5%2C+35%2C+-4.9x%5E2+%2B+23.1658x+%2B+1.7+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The maximum height looks correct -I'd get a 2nd <BR>\n" );
document.write( "opinion on this if possible </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );