document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=58644>Question 58644</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0321279085/algebrahomeworkh>CPLLEGE ALGEBRA</A><BR>\n" );
document.write( ": <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\r<BR>\n" );
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document.write( "* 16 represents 1/2g, the gravitational pull due to gravity (measured in feet per second2)<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\r<BR>\n" );
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document.write( "a) What is the function that describes this problem?<BR>\n" );
document.write( "b) The ball will be how high above the ground after 1 second?<BR>\n" );
document.write( "c) How long will it take to hit the ground?<BR>\n" );
document.write( "d) What is the maximum height of the ball? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #40292 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=40292\">put this solution on YOUR website!</A><BR><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\r<BR>\n" );
document.write( "\n" );
document.write( "* 16 represents 1/2g, the gravitational pull due to gravity (measured in feet per second2)<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\r<BR>\n" );
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document.write( "a) What is the function that describes this problem?<BR>\n" );
document.write( "so=0 and vo=32<BR>\n" );
document.write( "s=-16t^2+32t+0<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28s=-16t%5E2%2B32t%29 ALIGN=MIDDLE  ALT=\"highlight%28s=-16t%5E2%2B32t%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><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( "s(1)=-16(1)^2+32(1)<BR>\n" );
document.write( "s(1)=-16(1)+32<BR>\n" );
document.write( "s(1)=-16+32<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28s%281%29=16ft%29 ALIGN=MIDDLE  ALT=\"highlight%28s%281%29=16ft%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "c) How long will it take to hit the ground?<BR>\n" );
document.write( "0=-16t^2+32t<BR>\n" );
document.write( "0=-16t(t-2)<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=2s<BR>\n" );
document.write( "t=0 is when it was thrown.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28t=2s%29 ALIGN=MIDDLE  ALT=\"highlight%28t=2s%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > is when it lands.<BR>\n" );
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document.write( "d) What is the maximum height of the ball?<BR>\n" );
document.write( "The maximum height occurs halfway through the flight of the ball, it lands at t=2 s.  So it's maximum height occurs when t=1.  We found out that it was <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28s%281%29=16ft%29 ALIGN=MIDDLE  ALT=\"highlight%28s%281%29=16ft%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  on b.<BR>\n" );
document.write( "Happy Calculating!!! </SPAN>\n" );
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