document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=852728>Question 852728</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Mighty Mouse(who flies at a constant speed of 1400 ft/sec) was standing next to a cannon that was pointed straight up.  A cannonball was shot vertically into the air with an initial velocity of 880 ft/sec.  Exactly one second after the cannon was fired, Mighty Mouse flew up to touch the bottom of the cannonball. He then immediately turned and flew back down to the touch the inside bottom of the cannon, then up to the cannonball, down into the cannon, and so on, until the cannonball fell back into the cannon's barrel.\r<BR>\n" );
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document.write( "A. What is total distance Mighty Mouse had flown when he was finally smashed by the cannonball into mouse-mush?<BR>\n" );
document.write( "B. What was the total distance that the cannonball had flown?<BR>\n" );
document.write( "C. When did Mighty Mouse first touch the cannonball and how high was it? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #513655 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=513655\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The cannonball accelerates downwards at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=32 ALIGN=MIDDLE  ALT=\"32\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ft%2Fsec%5E2 ALIGN=MIDDLE  ALT=\"ft%2Fsec%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > due to gravity.<BR>\n" );
document.write( "At that rate it will go from 880 to 0 or from 0 to 880 ft/sec in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=880%2F32=27.5 ALIGN=MIDDLE  ALT=\"880%2F32=27.5\"   DISABLED_style= \"max-width:90%; height:auto;\" > seconds.<BR>\n" );
document.write( "It will go up and down in 55 seconds.<BR>\n" );
document.write( "That is how long Mighty will survive after the cannon fires.<BR>\n" );
document.write( "In that time, flying for 54 seconds at1400 ft/sec he will have covered<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=54%2A1400=75600 ALIGN=MIDDLE  ALT=\"54%2A1400=75600\"   DISABLED_style= \"max-width:90%; height:auto;\" > feet.<BR>\n" );
document.write( "  <BR>\n" );
document.write( "At an average speed of 440 ft/sec, the cannonball covered<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=55%2A440=24200 ALIGN=MIDDLE  ALT=\"55%2A440=24200\"   DISABLED_style= \"max-width:90%; height:auto;\" > feet in its 55-second flight.<BR>\n" );
document.write( " <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t ALIGN=MIDDLE  ALT=\"t\"   DISABLED_style= \"max-width:90%; height:auto;\" > seconds after the cannon fires, the ball's height, in feet, will be<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h=880t-16t%5E2 ALIGN=MIDDLE  ALT=\"h=880t-16t%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and Mighty, flying straight up, can reach a height of<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h=1400%28t-1%29 ALIGN=MIDDLE  ALT=\"h=1400%28t-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > feet by that time.<BR>\n" );
document.write( "When Mighty first touches the ball we have<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=880t-16t%5E2=1400t-1400 ALIGN=MIDDLE  ALT=\"880t-16t%5E2=1400t-1400\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=16t%5E2%2B520t-400 ALIGN=MIDDLE  ALT=\"0=16t%5E2%2B520t-400\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Dividing everything by 8, we get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2t%5E2%2B65t-175=0 ALIGN=MIDDLE  ALT=\"2t%5E2%2B65t-175=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Solving we get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=2.5 ALIGN=MIDDLE  ALT=\"t=2.5\"   DISABLED_style= \"max-width:90%; height:auto;\" > seconds.<BR>\n" );
document.write( "That is 2.5 seconds from the cannon firing, and 1.5 seconds after Mighty takes off.<BR>\n" );
document.write( "By then,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h=1.5%2A1400=2100 ALIGN=MIDDLE  ALT=\"h=1.5%2A1400=2100\"   DISABLED_style= \"max-width:90%; height:auto;\" > feet. </SPAN>\n" );
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