document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=445294>Question 445294</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If a metal ball is thrown downward with an initial velocity of 22 feet per second (15 mph) from a 100 foot water tower, its height h in feet above the ground the ground after t seconds is molded by h(t)=-16t^2-22t+100\r<BR>\n" );
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document.write( "determine symbolically when the height of the ball is 62 feet </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #306793 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=306793\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> f a metal ball is thrown downward with an initial velocity of 22 feet per second (15 mph) from a 100 foot water tower, its height h in feet above the ground the ground after t seconds is molded by h(t)=-16t^2-22t+100 <BR>\n" );
document.write( "determine symbolically when the height of the ball is 62 feet<BR>\n" );
document.write( "..<BR>\n" );
document.write( "h(t)=-16t^2-22t+100 <BR>\n" );
document.write( "62=-16t^2-22t+100<BR>\n" );
document.write( "-16t^2-22t+38=0<BR>\n" );
document.write( "-8t^2-11t+19=0<BR>\n" );
document.write( "solve by following quadratic formula<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "..<BR>\n" );
document.write( "a=-8, b=-11, c=19<BR>\n" );
document.write( "t=[-(-11)+-sqrt(-11)^2-4*-8*19)]2*-8<BR>\n" );
document.write( "t=[11+-sqrt(729)]/16=(11+-27)/-16<BR>\n" );
document.write( "t=-16/-16=1 <BR>\n" );
document.write( "t=38/-16=-2.375 (reject, t=>0)<BR>\n" );
document.write( "ans:<BR>\n" );
document.write( "The height of the ball is 62 feet above the ground after 1 second. </SPAN>\n" );
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