document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=174451>Question 174451</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0618595554/algebrahomeworkh>Algebra 2, Texas Edition</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> During a halftime show, a baton twirler releases her baton from a point 4 feet above the ground with an initial vertical velocity of 25 feet per second.  Use a vertical motion model to write a function for the height h (in feet) of the baton after t seconds then graph the function and label the vertex.\r<BR>\n" );
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document.write( "Please show all work possible and any strategies used in depth.  Thank You for your time and help! =) Hope to hear from you soon. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #129441 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=129441\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> During a halftime show, a baton twirler releases her baton from a point 4 feet<BR>\n" );
document.write( " above the ground with an initial vertical velocity of 25 feet per second.<BR>\n" );
document.write( " Use a vertical motion model to write a function for the height h (in feet)<BR>\n" );
document.write( " of the baton after t seconds then graph the function and label the vertex.<BR>\n" );
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document.write( "Write an equation for this using the three elements involved here<BR>\n" );
document.write( "t = time in seconds<BR>\n" );
document.write( "Gravity: -16t^2, negative because it's pulling downward<BR>\n" );
document.write( "Velocity upward: +25t<BR>\n" );
document.write( "Initial height: 4 ft<BR>\n" );
document.write( ";<BR>\n" );
document.write( "h(t) = -16t^2 + 25t + 4<BR>\n" );
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document.write( "Vertex occurs at the axis of symmetry,formula for this: x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-b%29%2F%282a%29 ALIGN=MIDDLE  ALT=\"%28-b%29%2F%282a%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "find the time of the highest point a=-16; b=25:<BR>\n" );
document.write( "t = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-25%29%2F%282%2A-16%29 ALIGN=MIDDLE  ALT=\"%28-25%29%2F%282%2A-16%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "t = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-25%29%2F%28-32%29 ALIGN=MIDDLE  ALT=\"%28-25%29%2F%28-32%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "t = +.78125 sec<BR>\n" );
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document.write( "Substitute for t in the equation to find h(t)<BR>\n" );
document.write( "h(t) = -16(.78125^2) + 25(.78125) + 4<BR>\n" );
document.write( "h(t) = -16(.61035) + 19.53125 + 4<BR>\n" );
document.write( "h(t) = -9.7656 + 23.53125<BR>\n" );
document.write( "h(t) = 13.76565 ft <BR>\n" );
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document.write( "A graph of this:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+200%2C+-2%2C+3%2C+-4%2C+20%2C+-16x%5E2%2B25x%2B4%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+200%2C+-2%2C+3%2C+-4%2C+20%2C+-16x%5E2%2B25x%2B4%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Did this make sense to you? Any questions?  </SPAN>\n" );
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