document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=85225>Question 85225</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( "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?<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #61432 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=61432\">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. <BR>\n" );
document.write( "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( "s(t) = -16t^2+32t+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( "Find s(1)<BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "c) 	How long will it take to hit the ground?<BR>\n" );
document.write( "Let s(t) = zero and solve for t<BR>\n" );
document.write( "------------------------  <BR>\n" );
document.write( "d) 	What is the maximum height of the ball?<BR>\n" );
document.write( "Maximum occurs at t = -b/2a = -32/(2(-16) = 1<BR>\n" );
document.write( "Part \"b\" told you what s(1) was; that is the max.<BR>\n" );
document.write( "==============<BR>\n" );
document.write( "Cheers<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );