document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=194477>Question 194477</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If an object is given an initial velocity of v0 feet per second from a height of s0 feet, then its height as a function of time is\r<BR>\n" );
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document.write( "h(t) = -16t^2 + v0t + s0\r<BR>\n" );
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document.write( "A potato gun is capable of launching a spud with an initial velocity of 80 feet per second. If the tater takes off from an elevation of 100 feet, how many seconds into its flight will it be at an elevation of 115 feet. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #145923 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=145923\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> h(t) = -16t^2 + v0t + s0 <BR>\n" );
document.write( "A potato gun is capable of launching a spud with an initial velocity of 80 feet per second. If the tater takes off from an elevation of 100 feet, how many seconds into its flight will it be at an elevation of 115 feet.<BR>\n" );
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document.write( "h(t) = -16t^2 + 80t + 100<BR>\n" );
document.write( "At 115 feet:<BR>\n" );
document.write( "115 = -16t^2 + 80t + 100<BR>\n" );
document.write( "16t^2 - 80t + 15 = 0<BR>\n" );
document.write( "t = (10 ± sqrt(85))/4 seconds<BR>\n" );
document.write( "One solution for t is on its way up, the other is on its way down.<BR>\n" );
document.write( "t = ~ 0.19511 seconds going up<BR>\n" );
document.write( "t = ~ 4.80489 seconds going down<BR>\n" );
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