document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=316746>Question 316746</A>: <I><SPAN STYLE=\"word-break: break-all;\"> h= -16t2 +80t + 50<BR>\n" );
document.write( "Use this position polynomial to calculate the following: \r<BR>\n" );
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document.write( "The height of the object after 2 seconds <BR>\n" );
document.write( "The height of the object after 5 seconds <BR>\n" );
document.write( "The maximum height of the object <BR>\n" );
document.write( "How long the the object will take to reach the ground?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #226869 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=226869\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> h= -16t^2 +80t + 50<BR>\n" );
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document.write( "Use this position polynomial to calculate the following:<BR>\n" );
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document.write( "The height of the object after 2 seconds<BR>\n" );
document.write( "h = -16(2^2) + 80(2) + 50<BR>\n" );
document.write( "h = -16(4) + 160 + 50<BR>\n" );
document.write( "h = -64 + 160 + 50<BR>\n" );
document.write( "h = 146 ft<BR>\n" );
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document.write( "The height of the object after 5 seconds<BR>\n" );
document.write( "Do the same as above, using t=5<BR>\n" );
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document.write( "The maximum height of the object<BR>\n" );
document.write( "Find the axis of symmetry; x = -b/(2a)<BR>\n" );
document.write( "in this equation x=t; a=-16: b=80;<BR>\n" );
document.write( "t = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-80%29%2F%282%2A-16%29 ALIGN=MIDDLE  ALT=\"%28-80%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=%28-80%29%2F%28-32%29 ALIGN=MIDDLE  ALT=\"%28-80%29%2F%28-32%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "t = 2.5 sec; the max height will occur in 2.5 sec<BR>\n" );
document.write( "Substitute 2.5 for t to find the max height<BR>\n" );
document.write( "h = -16(2.5^2) + 80(2.5) + 50<BR>\n" );
document.write( "h = -16(6.25) + 200 + 50<BR>\n" );
document.write( "h = -100 + 200 + 50<BR>\n" );
document.write( "h = 150 ft is max height<BR>\n" );
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document.write( "How long the the object will take to reach the ground? <BR>\n" );
document.write( "when it strikes the ground, h=0, write the equation<BR>\n" );
document.write( "-16t^2 + 80t + 50 = 0; solve for t using the quadratic formula<BR>\n" );
document.write( "a=-16, b=80, c=50<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+%28-80+%2B-+sqrt%2880%5E2-4%2A-16%2A50+%29%29%2F%282%2A-16%29+ ALIGN=MIDDLE  ALT=\"t+=+%28-80+%2B-+sqrt%2880%5E2-4%2A-16%2A50+%29%29%2F%282%2A-16%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "I'll let you do the math here, the positive solution ~ 5.5 sec  </SPAN>\n" );
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