document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=879720>Question 879720</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the velocity if H = 64t - 16t ^ 2?<BR>\n" );
document.write( "How can i solve for H?<BR>\n" );
document.write( "How can i solve for t? <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #531017 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=531017\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1) The velocity is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%2864-32t%29 ALIGN=MIDDLE  ALT=\"highlight%2864-32t%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "2) You do not need to solve for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=H ALIGN=MIDDLE  ALT=\"H\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "because you have the formula <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=H=64t-16t%5E2 ALIGN=MIDDLE  ALT=\"H=64t-16t%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > to calculate <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=H ALIGN=MIDDLE  ALT=\"H\"   DISABLED_style= \"max-width:90%; height:auto;\" > when you are given <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( "3) To solve for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t ALIGN=MIDDLE  ALT=\"t\"   DISABLED_style= \"max-width:90%; height:auto;\" > you have to solve a quadratic equation.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=H=64t-16t%5E2 ALIGN=MIDDLE  ALT=\"H=64t-16t%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16t%5E2-64t%2BH=0 ALIGN=MIDDLE  ALT=\"16t%5E2-64t%2BH=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "and the solutions to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16t%5E2-64t%2BH=0 ALIGN=MIDDLE  ALT=\"16t%5E2-64t%2BH=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > , if there is any,<BR>\n" );
document.write( "can be calculated applying the quadratic formula as<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+%2864+%2B-+sqrt%2864%5E2-4%2A16%2AH+%29%29%2F%282%2A16%29+ ALIGN=MIDDLE  ALT=\"t+=+%2864+%2B-+sqrt%2864%5E2-4%2A16%2AH+%29%29%2F%282%2A16%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+%2864+%2B-+sqrt%2864%5E2-64H%29+%29%2F32 ALIGN=MIDDLE  ALT=\"t+=+%2864+%2B-+sqrt%2864%5E2-64H%29+%29%2F32\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+%2864+%2B-+sqrt%2864%2864-H%29%29%29%2F32 ALIGN=MIDDLE  ALT=\"t+=+%2864+%2B-+sqrt%2864%2864-H%29%29%29%2F32\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+%2864+%2B-+8sqrt%2864-H%29%29%2F32 ALIGN=MIDDLE  ALT=\"t+=+%2864+%2B-+8sqrt%2864-H%29%29%2F32\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28t+=+%288+%2B-+sqrt%2864-H%29%29%2F4%29 ALIGN=MIDDLE  ALT=\"highlight%28t+=+%288+%2B-+sqrt%2864-H%29%29%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "That could give two answers, or one, or none.<BR>\n" );
document.write( "For example, <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;\" > when <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;\" > and when <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=4 ALIGN=MIDDLE  ALT=\"t=4\"   DISABLED_style= \"max-width:90%; height:auto;\" > ;<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=H=64 ALIGN=MIDDLE  ALT=\"H=64\"   DISABLED_style= \"max-width:90%; height:auto;\" > for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=2 ALIGN=MIDDLE  ALT=\"t=2\"   DISABLED_style= \"max-width:90%; height:auto;\" > only,<BR>\n" );
document.write( "and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=H=70 ALIGN=MIDDLE  ALT=\"H=70\"   DISABLED_style= \"max-width:90%; height:auto;\" > does not happen for any real value of <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( " <BR>\n" );
document.write( "The explanations for the answers above depend on why you need the answers, and what courses you have taken and/or are taking. It is different for Calculus than for Algebra 2 or Pre-calculus. It is different for Physics with little math.<BR>\n" );
document.write( " <BR>\n" );
document.write( "For Physics, you should know that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=H=64t-16t%5E2 ALIGN=MIDDLE  ALT=\"H=64t-16t%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > represents<BR>\n" );
document.write( "the height in feet after <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t ALIGN=MIDDLE  ALT=\"t\"   DISABLED_style= \"max-width:90%; height:auto;\" > seconds<BR>\n" );
document.write( "of an object shot up from the ground with an initial upwards velocity of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=64 ALIGN=MIDDLE  ALT=\"64\"   DISABLED_style= \"max-width:90%; height:auto;\" > feet per second,<BR>\n" );
document.write( "on Earth, which pulls down on objects with an acceleration of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=32 ALIGN=MIDDLE  ALT=\"32\"   DISABLED_style= \"max-width:90%; height:auto;\" > <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ft ALIGN=MIDDLE  ALT=\"ft\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%22%2F%22 ALIGN=MIDDLE  ALT=\"%22%2F%22\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s%5E2 ALIGN=MIDDLE  ALT=\"s%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( " <BR>\n" );
document.write( "For Calculus, I would tell you that the velocity is the derivative of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=H%28t%29 ALIGN=MIDDLE  ALT=\"H%28t%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > , <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dH%2Fdt ALIGN=MIDDLE  ALT=\"dH%2Fdt\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( " <BR>\n" );
document.write( "I would give more explanations if I knew which ones you need and can use. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );