document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=792812>Question 792812</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An object is projected vertically upward with an initial velocity of Vo ft/sec, and its distance s(t) in feet above the ground after t seconds is given by the formula s(t)=-16t^2+Vot.\r<BR>\n" );
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document.write( "a) if the object hits the ground after 12 seconds, find its initial velocity.<BR>\n" );
document.write( "B) find its maximum distance above 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 #480142 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=480142\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> An object is projected vertically upward with an initial velocity of Vo ft/sec, and its distance s(t) in feet above the ground after t seconds is given by the formula <BR>\n" );
document.write( "s(t)=-16t^2+Vot\r<BR>\n" );
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document.write( "a) if the object hits the ground after 12 seconds, find its initial velocity.<BR>\n" );
document.write( "Solve: 0 = -16*12^2 + Vo*12<BR>\n" );
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document.write( "12Vo = 16*12^2<BR>\n" );
document.write( "Vo = 16*12<BR>\n" );
document.write( "Vo = 152 ft/sec<BR>\n" );
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document.write( "B) find its maximum distance above the ground.<BR>\n" );
document.write( "s(t)=-16t^2+Vot<BR>\n" );
document.write( "s(t) = -16t^2 + 152t<BR>\n" );
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document.write( "Max height occurs when t = -b/(2a) = -152/(2*-16) = 4.75 <BR>\n" );
document.write( "Max height = s(4.75) = -16(4.75)^2 + 152(4.75) = 361 ft<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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document.write( " </SPAN>\n" );
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