document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=140648>Question 140648</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The path of a falling object is given by the function  s= -16t^2 +v0t +s0 where v0 represnts the initial velocity in ft/sec and s represents the initial height. The variable t is time in seconds, and s is the height of the object in feet. So if a rock is thrown upward with an initial velocity of 32 ft per second fron the top of a 40-ft building. How high is the rocke after 1 second?after 0.5 seconds? How many sec will it take the rock to reach maximum height before it's downward fall? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #102499 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=102499\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The path of a falling object is given by the function s= -16t^2 +v0t +s0 where v0 represents the initial velocity in ft/sec and s represents the initial height. The variable t is time in seconds, and s is the height of the object in feet. So if a rock is thrown upward with an initial velocity of 32 ft per second from the top of a 40-ft building. How high is the rock after 1 second?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "The equation for this situation:<BR>\n" );
document.write( "s = -16t^2 + 32t + 40<BR>\n" );
document.write( ":<BR>\n" );
document.write( "After 1 sec, substitute 1 for t:<BR>\n" );
document.write( "s = -16(1^2) + 32(1) + 40<BR>\n" );
document.write( "s = -16 + 32 + 40<BR>\n" );
document.write( "s = 56 ft after 1 sec<BR>\n" );
document.write( ":<BR>\n" );
document.write( "after 0.5 seconds? Substitute .5 for t<BR>\n" );
document.write( "s = -16(.5^2) + 32(.5) + 40<BR>\n" );
document.write( "s = -16(.25) + 16 + 40<BR>\n" );
document.write( "s = -4 + 16 + 40<BR>\n" );
document.write( "s = 52 ft after .5 sec <BR>\n" );
document.write( ":<BR>\n" );
document.write( "How many sec will it take the rock to reach maximum height before it's downward fall?<BR>\n" );
document.write( "The max will occur at the axis of symmetry; Use the formula: x = -b/(2a)<BR>\n" );
document.write( "a = -16, b = 32<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-32%29%2F%282%2A-16%29 ALIGN=MIDDLE  ALT=\"%28-32%29%2F%282%2A-16%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-32%29%2F%28-32%29 ALIGN=MIDDLE  ALT=\"%28-32%29%2F%28-32%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = 1 sec<BR>\n" );
document.write( ":<BR>\n" );
document.write( "We found the height after one sec and it was 56 ft </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );