document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1128492>Question 1128492</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help; I am having great difficulty with this one.\r<BR>\n" );
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document.write( "Solve.&#8203; (Use 4.9t^2+v0t=&#8203;s.)\r<BR>\n" );
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document.write( "&#8203;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" );
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document.write( "&#8203;b) A ball is thrown downward at a speed of 10 &#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" );
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document.write( "&#8203;c) Approximately how far will an object fall in 8 &#8203;sec, when thrown downward at an initial velocity of 10 &#8203;m/sec from a&#8203; plane? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #744976 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=744976\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=\"black\" face=\"times\" size=\"3\"><BR>\n" );
document.write( "Part A)\r<BR>\n" );
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document.write( "v = initial velocity = 0<BR>\n" );
document.write( "s = 500 = vertical distance the object travels (from plane to ground)\r<BR>\n" );
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document.write( "Plug in the given values and solve for t<BR>\n" );
document.write( "4.9t^2 + v*t = s<BR>\n" );
document.write( "4.9t^2 + 0*t = 500<BR>\n" );
document.write( "4.9t^2 + 0 = 500<BR>\n" );
document.write( "4.9t^2 = 500<BR>\n" );
document.write( "t^2 = 500/4.9<BR>\n" );
document.write( "t^2 = 102.04081632653<BR>\n" );
document.write( "t = sqrt(102.04081632653)<BR>\n" );
document.write( "t = 10.101525445522<BR>\n" );
document.write( "t = 10.1015\r<BR>\n" );
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document.write( "Answer: 10.1015 seconds (this is approximate)\r<BR>\n" );
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document.write( "Part B)\r<BR>\n" );
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document.write( "v = 10 <BR>\n" );
document.write( "s = 500<BR>\n" );
document.write( "like in part A, the goal is to solve for t\r<BR>\n" );
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document.write( "First plug in the values and get everything to one side<BR>\n" );
document.write( "4.9t^2 + v*t = s<BR>\n" );
document.write( "4.9t^2 + 10*t = 500<BR>\n" );
document.write( "4.9t^2 + 10*t - 500 = 0\r<BR>\n" );
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document.write( "Then use the Quadratic Formula with a = 4.9, b = 10, c = -500<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+%28-b%2Bsqrt%28b%5E2-4ac%29%29%2F%282a%29 ALIGN=MIDDLE  ALT=\"t+=+%28-b%2Bsqrt%28b%5E2-4ac%29%29%2F%282a%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+%28-b-sqrt%28b%5E2-4ac%29%29%2F%282a%29 ALIGN=MIDDLE  ALT=\"t+=+%28-b-sqrt%28b%5E2-4ac%29%29%2F%282a%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+=+%28-10%2Bsqrt%28%2810%29%5E2-4%284.9%29%28-500%29%29%29%2F%282%284.9%29%29 ALIGN=MIDDLE  ALT=\"t+=+%28-10%2Bsqrt%28%2810%29%5E2-4%284.9%29%28-500%29%29%29%2F%282%284.9%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+%28-10-sqrt%28%2810%29%5E2-4%284.9%29%28-500%29%29%29%2F%282%284.9%29%29 ALIGN=MIDDLE  ALT=\"t+=+%28-10-sqrt%28%2810%29%5E2-4%284.9%29%28-500%29%29%29%2F%282%284.9%29%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+=+%28-10%2Bsqrt%289900%29%29%2F%289.8%29 ALIGN=MIDDLE  ALT=\"t+=+%28-10%2Bsqrt%289900%29%29%2F%289.8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+%28-10-sqrt%289900%29%29%2F%289.8%29 ALIGN=MIDDLE  ALT=\"t+=+%28-10-sqrt%289900%29%29%2F%289.8%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+=+%28-10%2B99.498743710662%29%2F%289.8%29 ALIGN=MIDDLE  ALT=\"t+=+%28-10%2B99.498743710662%29%2F%289.8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+%28-10-99.498743710662%29%2F%289.8%29 ALIGN=MIDDLE  ALT=\"t+=+%28-10-99.498743710662%29%2F%289.8%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+=+%2889.498743710662%29%2F%289.8%29 ALIGN=MIDDLE  ALT=\"t+=+%2889.498743710662%29%2F%289.8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+%28-109.498743710662%29%2F%289.8%29 ALIGN=MIDDLE  ALT=\"t+=+%28-109.498743710662%29%2F%289.8%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+=+9.1325248684349 ALIGN=MIDDLE  ALT=\"t+=+9.1325248684349\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+-11.1733411949655 ALIGN=MIDDLE  ALT=\"t+=+-11.1733411949655\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Toss out the negative t value (negative time values make no sense)\r<BR>\n" );
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document.write( "Answer: 9.1325 seconds (approximate)\r<BR>\n" );
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document.write( "Part C)\r<BR>\n" );
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document.write( "v = 10<BR>\n" );
document.write( "t = 8<BR>\n" );
document.write( "s = unknown\r<BR>\n" );
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document.write( "Plug in the given values and compute<BR>\n" );
document.write( "4.9t^2 + v*t = s<BR>\n" );
document.write( "s = 4.9t^2 + v*t<BR>\n" );
document.write( "s = 4.9*8^2 + 500*8<BR>\n" );
document.write( "s = 4.9*64 + 500*8<BR>\n" );
document.write( "s = 313.6 + 4000<BR>\n" );
document.write( "s = 4313.6\r<BR>\n" );
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document.write( "Answer: 4313.6 feet<BR>\n" );
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