document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=55874>Question 55874</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose a baseball is shot up from the ground straight up with an initial velocity of 32 feet per second. A function can be created by expressing distance above the ground, s, as a function of time, t. This function is s = -16t2 + v0t + s0 <BR>\n" );
document.write( "•	16 represents ½g, the gravitational pull due to gravity (measured in feet per second 2). <BR>\n" );
document.write( "•	v0 is the initial velocity (how hard do you throw the object, measured in feet per second).<BR>\n" );
document.write( "•	s0 is the initial distance above ground (in feet). If you are standing on the ground, then s0 = 0.<BR>\n" );
document.write( "a) 	What is the function that describes this problem?<BR>\n" );
document.write( "Answer:  \r<BR>\n" );
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document.write( "b) 	The ball will be how high above the ground after 1 second?<BR>\n" );
document.write( "Answer:  <BR>\n" );
document.write( "Show work in this space.  \r<BR>\n" );
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document.write( "c) 	How long will it take to hit the ground?<BR>\n" );
document.write( "Answer:  <BR>\n" );
document.write( "Show work in this space.  \r<BR>\n" );
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document.write( "d) 	What is the maximum height of the ball?<BR>\n" );
document.write( "Answer:  <BR>\n" );
document.write( "Show work in this space.  \r<BR>\n" );
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document.write( "Thank you very much tine </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #37912 by </B><A HREF=/tutors/aboutme.mpl?userid=funmath><B>funmath(2933)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=funmath><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=37912\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hi Tine,<BR>\n" );
document.write( "Suppose a baseball is shot up from the ground straight up with an initial velocity of 32 feet per second. A function can be created by expressing distance above the ground, s, as a function of time, t. This function is s = -16t2 + v0t + s0 <BR>\n" );
document.write( "•	16 represents ½g, the gravitational pull due to gravity (measured in feet per second 2). <BR>\n" );
document.write( "•	v0 is the initial velocity (how hard do you throw the object, measured in feet per second).<BR>\n" );
document.write( "•	s0 is the initial distance above ground (in feet). If you are standing on the ground, then s0 = 0.<BR>\n" );
document.write( "a) 	What is the function that describes this problem?<BR>\n" );
document.write( "Answer:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s=-16t%5E2%2B32t ALIGN=MIDDLE  ALT=\"s=-16t%5E2%2B32t\"   DISABLED_style= \"max-width:90%; height:auto;\" >  <BR>\n" );
document.write( "v0=32 and s0=0<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s=-16t%5E2%2B%2832%29t%2B0 ALIGN=MIDDLE  ALT=\"s=-16t%5E2%2B%2832%29t%2B0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s=-16t%5E2%2B32t ALIGN=MIDDLE  ALT=\"s=-16t%5E2%2B32t\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "b) 	The ball will be how high above the ground after 1 second?<BR>\n" );
document.write( "Answer:  16 ft<BR>\n" );
document.write( "Show work in this space.  <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s%281%29=-16%281%29%5E2%2B32%281%29 ALIGN=MIDDLE  ALT=\"s%281%29=-16%281%29%5E2%2B32%281%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "s(1)=-16+32<BR>\n" );
document.write( "s(1)=16 ft\r<BR>\n" );
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document.write( "c) 	How long will it take to hit the ground?<BR>\n" );
document.write( "Answer:  t=2s<BR>\n" );
document.write( "Show work in this space.  <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=-16t%5E2%2B32t ALIGN=MIDDLE  ALT=\"0=-16t%5E2%2B32t\"   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%28-t%2B2%29 ALIGN=MIDDLE  ALT=\"0=16t%28-t%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "16t=0  and -t+2=0<BR>\n" );
document.write( "16t/16=0/16 and -t+2-2=0-2<BR>\n" );
document.write( "t=0 and -t=-2<BR>\n" );
document.write( "t=0 s and t=2 s<BR>\n" );
document.write( "At t=0s the ball was thrown and at t=2s the ball hit the ground.\r<BR>\n" );
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document.write( "d) 	What is the maximum height of the ball?<BR>\n" );
document.write( "Answer:  16 ft.<BR>\n" );
document.write( "Show work in this space.  <BR>\n" );
document.write( "The maximum height is the vertex of the parabola.  We find the t value of the vertex by the formula:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28t=-b%2F2a%29 ALIGN=MIDDLE  ALT=\"highlight%28t=-b%2F2a%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=-%2832%29%2F%282%28-16%29%29 ALIGN=MIDDLE  ALT=\"t=-%2832%29%2F%282%28-16%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=t=-32%2F-32 ALIGN=MIDDLE  ALT=\"t=-32%2F-32\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "t=1  at t=1s the ball reaches its maximum height.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s%281%29=-16%281%29%5E2%2B32%281%29 ALIGN=MIDDLE  ALT=\"s%281%29=-16%281%29%5E2%2B32%281%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s%281%29=-16%2B32 ALIGN=MIDDLE  ALT=\"s%281%29=-16%2B32\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "s(1)=16 ft<BR>\n" );
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