document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=66387>Question 66387</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello,\r<BR>\n" );
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document.write( "Can any math tutor help me with this problem as soon as possible.. I'm in a very need of this since i have a test tomorrow in my school. \r<BR>\n" );
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document.write( "Please!!! \r<BR>\n" );
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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?\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?\r<BR>\n" );
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document.write( "thank a ton for the one who helped me.. !!! \r<BR>\n" );
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document.write( "Tracy </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #47077 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=47077\">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 + vot + so <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( "s(t)=-16t^2+32t<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)=16 ft high<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 will be zero, so:<BR>\n" );
document.write( "0=-16t^2+32t<BR>\n" );
document.write( "-16t(t-2)=0<BR>\n" );
document.write( "t=0 or t=2<BR>\n" );
document.write( "t=0 means the ball starts on the ground<BR>\n" );
document.write( "t=32 means the ball is on the ground again after 2 seconds<BR>\n" );
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document.write( "d) 	What is the maximum height of the ball?<BR>\n" );
document.write( "s(t)=-16t^2+32t <BR>\n" );
document.write( "This is a quadratic with a=-16 and b=32<BR>\n" );
document.write( "The vertex of the parabola occurs at t=-b/2a=-(32)/(-32)=1<BR>\n" );
document.write( "So the top of the arc occurs at time t=1 sec.<BR>\n" );
document.write( "The height at that time is 16 feet as was shown in part \"b\".<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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