document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1127955>Question 1127955</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am getting frustrated trying to figure this out.  Can someone please break down the steps?\r<BR>\n" );
document.write( "\n" );
document.write( "Solve.&#8203; (Use 4.9tsquared+v0t=&#8203;s.)<BR>\n" );
document.write( "a) A bolt falls off an airplane at an altitude of 500 m. Approximately how long does it take the bolt to reach the&#8203; ground?\r<BR>\n" );
document.write( "\n" );
document.write( "&#8203;b) A ball is thrown downward at a speed of 40 &#8203;m/sec from an altitude of 500 m. Approximately how long does it take the ball to reach the&#8203; ground? \r<BR>\n" );
document.write( "\n" );
document.write( "c) Approximately how far will an object fall in 6 &#8203;sec, when thrown downward at an initial velocity of 40 &#8203;m/sec from a&#8203; plane?\r<BR>\n" );
document.write( "\n" );
document.write( "&#8203;a) It takes the bolt ________sec m/sec to reach the ground.<BR>\n" );
document.write( "b)<BR>\n" );
document.write( "c) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #744423 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20849)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=744423\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s=4.9t%5E2%2Bv%5B0%5Dt ALIGN=MIDDLE  ALT=\"s=4.9t%5E2%2Bv%5B0%5Dt\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "a) A bolt falls off an airplane at an altitude of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=500m ALIGN=MIDDLE  ALT=\"500m\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Approximately how long does it take the bolt to reach the&#8203; ground? \r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s=4.9t%5E2+%2B+v%5B0%5Dt ALIGN=MIDDLE  ALT=\"s=4.9t%5E2+%2B+v%5B0%5Dt\"   DISABLED_style= \"max-width:90%; height:auto;\" > where <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s ALIGN=MIDDLE  ALT=\"s\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the distance above ground (the height or altitude), <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+ ALIGN=MIDDLE  ALT=\"t+\"   DISABLED_style= \"max-width:90%; height:auto;\" >= time in seconds, and <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=v%5B0%5D ALIGN=MIDDLE  ALT=\"v%5B0%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the initial velocity (zero in this case).\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4.9t%5E2+=+500 ALIGN=MIDDLE  ALT=\"4.9t%5E2+=+500\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4.9 ALIGN=MIDDLE  ALT=\"4.9\"   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+=+500%2F4.9 ALIGN=MIDDLE  ALT=\"t%5E2+=+500%2F4.9\"   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+=+102.04082 ALIGN=MIDDLE  ALT=\"t%5E2+=+102.04082\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+sqrt%28102.04082%29 ALIGN=MIDDLE  ALT=\"t+=+sqrt%28102.04082%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+10.10s ALIGN=MIDDLE  ALT=\"t+=+10.10s\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "b) A ball is thrown downward at a speed of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=40%28m%2Fs%29 ALIGN=MIDDLE  ALT=\"40%28m%2Fs%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > from an altitude of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=500m ALIGN=MIDDLE  ALT=\"500m\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Approximately how long does it take the ball to reach the ground? \r<BR>\n" );
document.write( "\n" );
document.write( "Always assume positive = up and negative = down.<BR>\n" );
document.write( "So the acceleration of gravity is *always* negative:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=-9.81%28m%2Fs%5E2%29 ALIGN=MIDDLE  ALT=\"a=-9.81%28m%2Fs%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > (acceleration due to gravity)<BR>\n" );
document.write( "In your problem, the object lands <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=500m ALIGN=MIDDLE  ALT=\"500m\"   DISABLED_style= \"max-width:90%; height:auto;\" > below the starting point, so \r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s=-500 ALIGN=MIDDLE  ALT=\"s=-500\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=v%5Bi%5D%29=40%28m%2Fs%29 ALIGN=MIDDLE  ALT=\"v%5Bi%5D%29=40%28m%2Fs%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "Use this equation:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s=v%5Bi%5D%29t%2B%281%2F2%29a%2At%5E2 ALIGN=MIDDLE  ALT=\"s=v%5Bi%5D%29t%2B%281%2F2%29a%2At%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-500=40%28m%2Fs%29t%2B%281%2F2%29%28-9.81%28m%2Fs%5E2%29%29%2At%5E2 ALIGN=MIDDLE  ALT=\"-500=40%28m%2Fs%29t%2B%281%2F2%29%28-9.81%28m%2Fs%5E2%29%29%2At%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >....we have to find the time <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t ALIGN=MIDDLE  ALT=\"t\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-500=40%28m%2Fs%29t-4.905%28m%2Fs%5E2%29%2At%5E2 ALIGN=MIDDLE  ALT=\"-500=40%28m%2Fs%29t-4.905%28m%2Fs%5E2%29%2At%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4.905%28m%2Fs%5E2%29%2At%5E2-40+%28m%2Fs%29t-500=0 ALIGN=MIDDLE  ALT=\"4.905%28m%2Fs%5E2%29%2At%5E2-40+%28m%2Fs%29t-500=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t ALIGN=MIDDLE  ALT=\"t\"   DISABLED_style= \"max-width:90%; height:auto;\" > &#8776; <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=14.9661s ALIGN=MIDDLE  ALT=\"14.9661s\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "c) Approximately how far will an object fall in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6 ALIGN=MIDDLE  ALT=\"6\"   DISABLED_style= \"max-width:90%; height:auto;\" >sec, when thrown downward at an initial velocity of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=40%28m%2Fs%29 ALIGN=MIDDLE  ALT=\"40%28m%2Fs%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > from a plane? \r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=v%5Bi%5D%29=40+%26%238203%3B%28m%2Fsec%29 ALIGN=MIDDLE  ALT=\"v%5Bi%5D%29=40+%26%238203%3B%28m%2Fsec%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=6s ALIGN=MIDDLE  ALT=\"t=6s\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s=+40%2A6%2B%281%2F2%299.81%2A6%5E2 ALIGN=MIDDLE  ALT=\"s=+40%2A6%2B%281%2F2%299.81%2A6%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >..............<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=g=9.81%28m%2Fs%5E2%29 ALIGN=MIDDLE  ALT=\"a=g=9.81%28m%2Fs%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s=240+%2B176.58 ALIGN=MIDDLE  ALT=\"s=240+%2B176.58\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s=416.58m ALIGN=MIDDLE  ALT=\"s=416.58m\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );