document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=82349>Question 82349</A>: <I><SPAN STYLE=\"word-break: break-all;\"> word problem:<BR>\n" );
document.write( "Suppose a baseball is shot up from the ground straight up with an initial velocity of 64 feet per second.  A function of time, t.  This function is s=16t squard+v0t+so.\r<BR>\n" );
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document.write( "16 represents 1/g, the gravitational pull due to gravity (measured in feet per second squared.\r<BR>\n" );
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document.write( "v0 is the initial velocity (how hard do you throw the object, measured in feet per second squared).\r<BR>\n" );
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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?\r<BR>\n" );
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document.write( "b)The ball will be how high above the ground after 1 second?\r<BR>\n" );
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document.write( "c)How long will it take to hit the ground?\r<BR>\n" );
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document.write( "d)What is the maximum height of the ball?  What time will the masimum height be attained? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #58994 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=58994\">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 64 feet per second. A function of time, t. This function is s=16t squard+v0t+so. <BR>\n" );
document.write( "16 represents 1/g, the gravitational pull due to gravity (measured in feet per second squared. <BR>\n" );
document.write( "v0 is the initial velocity (how hard do you throw the object, measured in feet per second squared). <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( "s(t)=-16t^2+64t+0<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+64+0 = 48 ft above the ground<BR>\n" );
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document.write( "c)How long will it take to hit the ground? <BR>\n" );
document.write( "When it hits the ground its height is zero:<BR>\n" );
document.write( "-16t^2+64t=0<BR>\n" );
document.write( "-16t(t-4)=0<BR>\n" );
document.write( "t=0 or t=4<BR>\n" );
document.write( "This means it is on the ground when it starts and 4 seconds later.<BR>\n" );
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document.write( "d)What is the maximum height of the ball? What time will the masimum height be attained?<BR>\n" );
document.write( "maximum occurs at t=-b/2a = -64/(-32) = 2 seconds<BR>\n" );
document.write( "s(2) = -16*(2)^2 +64*2<BR>\n" );
document.write( "s(2) = -64 + 128<BR>\n" );
document.write( "s(2) = 64 ft above the ground<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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