document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=332220>Question 332220</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The braking distance (in feet) of a car going V mph is given by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%28v%29=v%5E2%2F20%2Bv ALIGN=MIDDLE  ALT=\"d%28v%29=v%5E2%2F20%2Bv\"   DISABLED_style= \"max-width:90%; height:auto;\" > v is greater or equal to 0.\r<BR>\n" );
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document.write( "how fast would the car have been traveling for a braking distance of 150feet? round to nearest mile per hour. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #238118 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=238118\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The braking distance (in feet) of a car going V mph is given by<BR>\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%28v%29=v%5E2%2F20%2Bv ALIGN=MIDDLE  ALT=\"d%28v%29=v%5E2%2F20%2Bv\"   DISABLED_style= \"max-width:90%; height:auto;\" > v is greater or equal to 0.<BR>\n" );
document.write( "how fast would the car have been traveling for a braking distance of 150feet?<BR>\n" );
document.write( " round to nearest mile per hour.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Write it:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=v%5E2%2F20%2Bv ALIGN=MIDDLE  ALT=\"v%5E2%2F20%2Bv\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 150<BR>\n" );
document.write( "multiply by 20, results<BR>\n" );
document.write( "v^2 + 20v = 20(150)<BR>\n" );
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document.write( "v^2 + 20v = 3000<BR>\n" );
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document.write( "v^2 + 20v - 3000 = 0<BR>\n" );
document.write( "Solve for v using the quadratic formula<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "in this equation; x=v; a=1; b=20; c= -3000<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=v+=+%28-20+%2B-+sqrt%2820%5E2-4%2A1%2A-3000+%29%29%2F%282%2A1%29+ ALIGN=MIDDLE  ALT=\"v+=+%28-20+%2B-+sqrt%2820%5E2-4%2A1%2A-3000+%29%29%2F%282%2A1%29+\"   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=v+=+%28-20+%2B-+sqrt%28400-%28-12000%29+%29%29%2F2+ ALIGN=MIDDLE  ALT=\"v+=+%28-20+%2B-+sqrt%28400-%28-12000%29+%29%29%2F2+\"   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=v+=+%28-20+%2B-+sqrt%2812400+%29%29%2F2+ ALIGN=MIDDLE  ALT=\"v+=+%28-20+%2B-+sqrt%2812400+%29%29%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Two solutions, we only want the positive solution<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=v+=+%28-20+%2B+111.355%29%2F2+ ALIGN=MIDDLE  ALT=\"v+=+%28-20+%2B+111.355%29%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "v = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=91.355%2F2 ALIGN=MIDDLE  ALT=\"91.355%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "v = 45.68 mph for a stopping distance of 150 ft<BR>\n" );
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document.write( "See if that flies in the original equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%28v%29=45.68%5E2%2F20%2B45.68 ALIGN=MIDDLE  ALT=\"d%28v%29=45.68%5E2%2F20%2B45.68\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%28v%29=2086.45%2F20%2B45.68 ALIGN=MIDDLE  ALT=\"d%28v%29=2086.45%2F20%2B45.68\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%28v%29=104.32%2B45.68 ALIGN=MIDDLE  ALT=\"d%28v%29=104.32%2B45.68\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "d(v) = 150.00, confirms our solution </SPAN>\n" );
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