document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=163209>Question 163209</A>: <I><SPAN STYLE=\"word-break: break-all;\"> can someone show me how to do this problem:\r<BR>\n" );
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document.write( "Suppose that the speed (in m/sec) of a particle moving on the x-axis at time t seconds (t is greater than or equal to 0) is given by:\r<BR>\n" );
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document.write( "V(t) = t^3 - 8t^2 + 15t + 10.\r<BR>\n" );
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document.write( "By sketching a graph of V(t), estimate during what time period the speed of the particle is less than 10m/sec.\r<BR>\n" );
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document.write( "a. Between about t = 2 and t = 4 seconds<BR>\n" );
document.write( "b. Between about t = 4 and t = 6 seconds<BR>\n" );
document.write( "c. Between about t = 4 and t = 5 seconds<BR>\n" );
document.write( "d. Between about t = 3 and t = 5 seconds </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #120335 by </B><A HREF=/tutors/aboutme.mpl?userid=Edwin+McCravy><B>Edwin McCravy(20055)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Edwin+McCravy><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=Edwin+McCravy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=120335\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> can someone show me how to do this problem:\r<BR>\n" );
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document.write( "Suppose that the speed (in m/sec) of a particle moving <BR>\n" );
document.write( "on the x-axis at time t seconds (t is greater than or equal to 0)<BR>\n" );
document.write( "is given by:\r<BR>\n" );
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document.write( "V(t) = t^3 - 8t^2 + 15t + 10.\r<BR>\n" );
document.write( "\n" );
document.write( "By sketching a graph of V(t), estimate during what time period the speed of the particle is less than 10m/sec.\r<BR>\n" );
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document.write( "a. Between about t = 2 and t = 4 seconds<BR>\n" );
document.write( "b. Between about t = 4 and t = 6 seconds<BR>\n" );
document.write( "c. Between about t = 4 and t = 5 seconds<BR>\n" );
document.write( "d. Between about t = 3 and t = 5 seconds\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C400%2C-2%2C7%2C-3%2C20%2C%28x%5E3-8x%5E2%2B15x%2B10%29%2Asqrt%28x%29%2Fsqrt%28x%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "now draw a green horizontal line through 10 on the t-axis<BR>\n" );
document.write( "(shown as the x-0axis):\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C400%2C-2%2C7%2C-3%2C20%2C%28x%5E3-8x%5E2%2B15x%2B10%29%2Asqrt%28x%29%2Fsqrt%28x%29%2C10%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Draw a black vertical line where the curve starts dropping <BR>\n" );
document.write( "below the green line, and another one at the end of the <BR>\n" );
document.write( "place where it drops below the green line. \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28400%2C400%2C-.5%2C7%2C-3%2C20%2C%0D%0Agraph%28400%2C400%2C-.5%2C7%2C-3%2C20%2C%28x%5E3-8x%5E2%2B15x%2B10%29%2Asqrt%28x%29%2Fsqrt%28x%29%2C10%29%2C%0D%0Aline%283%2C-4%2C3%2C21%29%2C+line%285%2C-4%2C5%2C21%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Notice that the vertical lines crosses the t-axis (actually<BR>\n" );
document.write( "here it's the x-axis) at 3 and 5:\r<BR>\n" );
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document.write( "Answer: The speed is below 10 m/sec when t is between 3 and 5<BR>\n" );
document.write( "seconds.  \r<BR>\n" );
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document.write( "Edwin</pre> </SPAN>\n" );
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