document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=556451>Question 556451</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A catapult launches a boulder with an upward velocity of 148 ft/s. The height of the boulder (h) in feet after t seconds is given by the function h = –16t˛ + 148t + 30. How long does it take the boulder to reach its maximum height? What is the boulder’s maximum height? Round to the nearest hundredth, if necessary </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #362170 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=362170\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A catapult launches a boulder with an upward velocity of 148 ft/s. The height of the boulder (h) in feet after t seconds is given by the function h = –16t˛ + 148t + 30. <BR>\n" );
document.write( ".<BR>\n" );
document.write( "How long does it take the boulder to reach its maximum height? <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h+=+-16t%5E2+%2B+148t+%2B+30 ALIGN=MIDDLE  ALT=\"h+=+-16t%5E2+%2B+148t+%2B+30\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "max height reached at vertex <BR>\n" );
document.write( "t = -b/(2a)<BR>\n" );
document.write( "t = -148/(2*(-16))<BR>\n" );
document.write( "t = -148/(-32)<BR>\n" );
document.write( "t = 4.625 seconds<BR>\n" );
document.write( ".<BR>\n" );
document.write( "What is the boulder’s maximum height? Round to the nearest hundredth, if necessary<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h+=+-16t%5E2+%2B+148t+%2B+30 ALIGN=MIDDLE  ALT=\"h+=+-16t%5E2+%2B+148t+%2B+30\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "set t to 4.625 and solve for h:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h+=+-16%284.625%29%5E2+%2B+148%284.625%29+%2B+30 ALIGN=MIDDLE  ALT=\"h+=+-16%284.625%29%5E2+%2B+148%284.625%29+%2B+30\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h+=+372.25+ ALIGN=MIDDLE  ALT=\"h+=+372.25+\"   DISABLED_style= \"max-width:90%; height:auto;\" > feet<BR>\n" );
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