document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=777701>Question 777701</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello. I have come requesting help for the following quadratic word problem:<BR>\n" );
document.write( "\"Suppose one object is dropped from a height of 100 feet while another is dropped from 200 feet. Does it take twice as long for the higher object to hit the ground?\"\r<BR>\n" );
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document.write( "I have used the formula <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%28t%29=+-16t%5E2+%2BV%28t%29%2Bh ALIGN=MIDDLE  ALT=\"h%28t%29=+-16t%5E2+%2BV%28t%29%2Bh\"   DISABLED_style= \"max-width:90%; height:auto;\" > in my attempts to solve it, but as the value of V (Initial Velocity) is not provided, my attempts have been fruitless. Any help would be very appreciated, and many thanks in advance to anyone who can help.\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #474220 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=474220\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> There is no initial velocity since the object,<BR>\n" );
document.write( "So the equation reduces to:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h%28t%29+=+-16t%5E2+%2B+h+ ALIGN=MIDDLE  ALT=\"+h%28t%29+=+-16t%5E2+%2B+h+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--------------------<BR>\n" );
document.write( "I need to find the time interval when<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h+ ALIGN=MIDDLE  ALT=\"+h+\"   DISABLED_style= \"max-width:90%; height:auto;\" > goes from <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h+=+100+ ALIGN=MIDDLE  ALT=\"+h+=+100+\"   DISABLED_style= \"max-width:90%; height:auto;\" > to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h+=+0+ ALIGN=MIDDLE  ALT=\"+h+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and then when<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h+ ALIGN=MIDDLE  ALT=\"+h+\"   DISABLED_style= \"max-width:90%; height:auto;\" > goes from <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h+=+200+ ALIGN=MIDDLE  ALT=\"+h+=+200+\"   DISABLED_style= \"max-width:90%; height:auto;\" > to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h+=+0+ ALIGN=MIDDLE  ALT=\"+h+=+0+\"   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=+h+=+100+ ALIGN=MIDDLE  ALT=\"+h+=+100+\"   DISABLED_style= \"max-width:90%; height:auto;\" > at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+0+ ALIGN=MIDDLE  ALT=\"+t+=+0+\"   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+=+-16%2A0%5E2+%2B+100+ ALIGN=MIDDLE  ALT=\"+h%5B0%5D+=+-16%2A0%5E2+%2B+100+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h%5Bt%5D+=+0+ ALIGN=MIDDLE  ALT=\"+h%5Bt%5D+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" > ( when object hits ground )<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+0=+-16t%5E2+%2B+100 ALIGN=MIDDLE  ALT=\"+0=+-16t%5E2+%2B+100\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+16t%5E2+=+100++ ALIGN=MIDDLE  ALT=\"+16t%5E2+=+100++\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t%5E2+=+100%2F16+ ALIGN=MIDDLE  ALT=\"+t%5E2+=+100%2F16+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+10%2F4+ ALIGN=MIDDLE  ALT=\"+t+=+10%2F4+\"   DISABLED_style= \"max-width:90%; height:auto;\" > sec<BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h+=+200+ ALIGN=MIDDLE  ALT=\"+h+=+200+\"   DISABLED_style= \"max-width:90%; height:auto;\" > at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+0+ ALIGN=MIDDLE  ALT=\"+t+=+0+\"   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+=+-16%2A0%5E2+%2B+100%0D%0Aand%0D%0A%7B%7B%7B+h%5Bt%5D+=+0+ ALIGN=MIDDLE  ALT=\"+h%5B0%5D+=+-16%2A0%5E2+%2B+100%0D%0Aand%0D%0A%7B%7B%7B+h%5Bt%5D+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" > ( when object hits ground )<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+0=+-16t%5E2+%2B+200 ALIGN=MIDDLE  ALT=\"+0=+-16t%5E2+%2B+200\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+16t%5E2+=+200++ ALIGN=MIDDLE  ALT=\"+16t%5E2+=+200++\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t%5E2+=+200%2F16+ ALIGN=MIDDLE  ALT=\"+t%5E2+=+200%2F16+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+%2810%2F4%29%2Asqrt%282%29+ ALIGN=MIDDLE  ALT=\"+t+=+%2810%2F4%29%2Asqrt%282%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > sec<BR>\n" );
document.write( "-----------------------<BR>\n" );
document.write( "The ratio of the times is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28%2810%2F4%29%2Asqrt%282%29%29+%2F+%28+10%2F4+%29+=+sqrt%282%29+ ALIGN=MIDDLE  ALT=\"+%28%2810%2F4%29%2Asqrt%282%29%29+%2F+%28+10%2F4+%29+=+sqrt%282%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The object does not take twice as long<BR>\n" );
document.write( "to reach the ground. It take 1.414 times as long\r<BR>\n" );
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