document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=329341>Question 329341</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A ball is thrown directly upward from the ground with an initial speed on 80 ft/s. How high will it go? When will it return to the ground? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #236038 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=236038\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Start with the function for the height (h)of an object thrown upward as a function of time (t).<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%28t%29+=+-16t%5E2%2Bv%5B0%5D%2At%2Bh%5B0%5D ALIGN=MIDDLE  ALT=\"h%28t%29+=+-16t%5E2%2Bv%5B0%5D%2At%2Bh%5B0%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > Where: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h ALIGN=MIDDLE  ALT=\"h\"   DISABLED_style= \"max-width:90%; height:auto;\" > = height, <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, <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;\" > = Initial upward velocity, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%5B0%5D ALIGN=MIDDLE  ALT=\"h%5B0%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > = initial height of the object.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%28t%29+=+-16t%5E2%2B80%2At%2B0 ALIGN=MIDDLE  ALT=\"h%28t%29+=+-16t%5E2%2B80%2At%2B0\"   DISABLED_style= \"max-width:90%; height:auto;\" > First, find the time (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5Bm%5D ALIGN=MIDDLE  ALT=\"t%5Bm%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >) at the maximum height.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5Bm%5D+=+-80%2F2%28-16%29 ALIGN=MIDDLE  ALT=\"t%5Bm%5D+=+-80%2F2%28-16%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > This is the time, in seconds, when the object reaches it maximum height.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5Bm%5D+=+5%2F2 ALIGN=MIDDLE  ALT=\"t%5Bm%5D+=+5%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > now substitute this into the first function <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;\" > to find the maximum height reached by the object.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%285%2F2%29+=+-16%285%2F2%29%5E2%2B80%285%2F2%29 ALIGN=MIDDLE  ALT=\"h%285%2F2%29+=+-16%285%2F2%29%5E2%2B80%285%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Evaluate.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%285%2F2%29+=+100 ALIGN=MIDDLE  ALT=\"h%285%2F2%29+=+100\"   DISABLED_style= \"max-width:90%; height:auto;\" >feet.  This is the maximum height attained by the object.<BR>\n" );
document.write( "Now you need to find the time (t) at which the (h) = 0, so...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0+=+-16t%5E2%2B80t ALIGN=MIDDLE  ALT=\"0+=+-16t%5E2%2B80t\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor a t.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%28-16t%2B80%29+=+0 ALIGN=MIDDLE  ALT=\"t%28-16t%2B80%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > so...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-16t%2B80+=+0 ALIGN=MIDDLE  ALT=\"-16t%2B80+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-16t+=+-80 ALIGN=MIDDLE  ALT=\"-16t+=+-80\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+5 ALIGN=MIDDLE  ALT=\"t+=+5\"   DISABLED_style= \"max-width:90%; height:auto;\" >seconds. The object reaches the ground in 5 seconds. </SPAN>\n" );
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