document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1014570>Question 1014570</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If an object is propelled upward from a height of s feet at an initial velocity of v feet per&#8203; second, then its height h after t seconds is given by the equation<BR>\n" );
document.write( "h= -16^2 + vt +s,<BR>\n" );
document.write( "where h is in feet. If the object is propelled from a height of<BR>\n" );
document.write( "8<BR>\n" );
document.write( "feet with an initial velocity of<BR>\n" );
document.write( "96<BR>\n" );
document.write( "feet per&#8203; second, its height h is given by the equation<BR>\n" );
document.write( "h= -16t^2+96t+8.<BR>\n" );
document.write( "After how many seconds is the height<BR>\n" );
document.write( "148<BR>\n" );
document.write( "&#8203;feet? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #630948 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=630948\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If an object is propelled upward from a height of s feet at an initial velocity of v feet per&#8203; second, then its height h after t seconds is given by the equation<BR>\n" );
document.write( "h= -16^2 + vt +s, where h is in feet. <BR>\n" );
document.write( " If the object is propelled from a height of 8 feet<BR>\n" );
document.write( " with an initial velocity of 96 feet per&#8203; second,<BR>\n" );
document.write( " its height h is given by the equation: h= -16t^2+96t+8.<BR>\n" );
document.write( "After how many seconds is the height 148 &#8203;feet? <BR>\n" );
document.write( ":<BR>\n" );
document.write( "We can write the equation:<BR>\n" );
document.write( "-16t^2 + 96t + 8 = 148<BR>\n" );
document.write( "-16t^2 + 96t + 8 - 148 = 0<BR>\n" );
document.write( "-16t^2 + 96t - 140 = 0<BR>\n" );
document.write( "simplify, divide by -4<BR>\n" );
document.write( "4t^2 - 24t + 35 = 0<BR>\n" );
document.write( "solve for t using the quadratic formula; a=4; b=-24; c=35<BR>\n" );
document.write( "Two solutions<BR>\n" );
document.write( "t = 2.5 seconds to reach a height of 148 ft on the way up<BR>\n" );
document.write( "and<BR>\n" );
document.write( "t = 3.5 seconds to descend to 148 ft on the way down<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+200%2C+-4%2C+8%2C+-20%2C+200%2C+-16x%5E2%2B96x%2B8%2C+148%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+200%2C+-4%2C+8%2C+-20%2C+200%2C+-16x%5E2%2B96x%2B8%2C+148%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "looks like this graphically, green line is 148ft </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );