document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=197762>Question 197762</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi, I am having trouble figuring out this problem. Would someone please help me figure out the formula? Thank you. \r<BR>\n" );
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document.write( "The height in feet for a ball thrown upward at 48 feet per<BR>\n" );
document.write( "second is given by s(t)=-16t^2+48t, where t is the time<BR>\n" );
document.write( "in seconds after the ball is tossed. What is the maximum<BR>\n" );
document.write( "height that the ball will reach?\r<BR>\n" );
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document.write( "Equation of motion of the ball is  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s%28t%29=+-16t%5E%282%29+%2B+48t ALIGN=MIDDLE  ALT=\"s%28t%29=+-16t%5E%282%29+%2B+48t\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "It is the equation of a parabola.<BR>\n" );
document.write( "So the maximum height will be at its vertex.<BR>\n" );
document.write( "Vertex = (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-b%2F2a%29 ALIGN=MIDDLE  ALT=\"%28-b%2F2a%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28s%28-b%2F2a%29%29 ALIGN=MIDDLE  ALT=\"%28s%28-b%2F2a%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28t%29=ax%5E2%2Bbx%2Bc ALIGN=MIDDLE  ALT=\"f%28t%29=ax%5E2%2Bbx%2Bc\"   DISABLED_style= \"max-width:90%; height:auto;\" >-------(1)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s%28t%29=-16t%5E2%2B48t ALIGN=MIDDLE  ALT=\"s%28t%29=-16t%5E2%2B48t\"   DISABLED_style= \"max-width:90%; height:auto;\" >--------(2)<BR>\n" );
document.write( "Comparing (1) and (2)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=-16 ALIGN=MIDDLE  ALT=\"a=-16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=48 ALIGN=MIDDLE  ALT=\"b=48\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-b%2F2a ALIGN=MIDDLE  ALT=\"-b%2F2a\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-48%2F%282%2A-16%29 ALIGN=MIDDLE  ALT=\"-48%2F%282%2A-16%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >= 1.5<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s%281.5%29=-16%281.5%29%5E2%2B48%281.5%29 ALIGN=MIDDLE  ALT=\"s%281.5%29=-16%281.5%29%5E2%2B48%281.5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=36<BR>\n" );
document.write( "So the maximum height the ball will reach is 36 feet\r<BR>\n" );
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