document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=120868>Question 120868</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0131953648/algebrahomeworkh>college algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Could you please help solve for this  problem it has 4 parts?  I don't know where to start.\r<BR>\n" );
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document.write( "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 s0 represents the initial height. The variable t is time in seconds, and the s is the height of the object in feet. <BR>\n" );
document.write( "a) If a rock is thrown upward with an initial velocity of 32 feet per second from the top of a 40-foot building, write the height equation using this information.\r<BR>\n" );
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document.write( "b) How high is the rock after 0.5 seconds?\r<BR>\n" );
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document.write( "c) After how many sections will the rock reach maximum height?\r<BR>\n" );
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document.write( "d)What is the maximum height?\r<BR>\n" );
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document.write( "Please show all work<BR>\n" );
document.write( "Thanks in advance for your help.  \r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #88665 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=88665\">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 s0 represents the initial height. The variable t is time in seconds, and the s is the height of the object in feet. <BR>\n" );
document.write( "a) If a rock is thrown upward with an initial velocity of 32 feet per second from the top of a 40-foot building, write the height equation using this information.<BR>\n" );
document.write( "s(t)=-16t^2+32t+40<BR>\n" );
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document.write( "b) How high is the rock after 0.5 seconds?<BR>\n" );
document.write( "s(0.5) = -16(0.5)^2+32(0.5)+40 = 50 ft.<BR>\n" );
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document.write( "c) After how many seconds will the rock reach maximum height?<BR>\n" );
document.write( "Maximum occurs when t = -b/2a = -32/(2*-16) = 1 second<BR>\n" );
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document.write( "d)What is the maximum height?<BR>\n" );
document.write( "Maximum height occurs at s(1) = -16+32+40 = 56<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. <BR>\n" );
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