document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=77726>Question 77726</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help\r<BR>\n" );
document.write( "\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?\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "b) The ball will be how high above the ground after 1 second?<BR>\n" );
document.write( " \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "c) How long will it take to hit the ground?\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\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 #55899 by </B><A HREF=/tutors/aboutme.mpl?userid=renevencer22><B>renevencer22(21)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=renevencer22><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=55899\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 						<BR>\n" );
document.write( "a) this  function  describes  displacement as,  s =  Vo*t  - (1/2)*g*t^2,  showing  effect of gravity in motion of  (falling and going-up ) body.	It is in terms of initial velocity and gravity at any time.<BR>\n" );
document.write( "				<BR>\n" );
document.write( "see also: http://www.freewebs.com/renevencer11/-%20math/freefalling.jpg<BR>\n" );
document.write( "note: copy, paste on your file & Ctrl+ click to view the link	<BR>\n" );
document.write( "				<BR>\n" );
document.write( "b)  after 1 sec		s =  Vo*t  - (1/2)*g*t^2				<BR>\n" );
document.write( "Vo = 32 ft/sec		s  = 32*1  - (1/2)*32.2*1^2 =	15.90	ft<BR>\n" );
document.write( "						<BR>\n" );
document.write( "d) maximum height						<BR>\n" );
document.write( "V1^2  - Vo^2  =  -2*g*h	 V1 = final velocity, equal to zero at maximum height			<BR>\n" );
document.write( "h =  Vo^2/(2*g) = 15.90	ft			<BR>\n" );
document.write( "						<BR>\n" );
document.write( "c) it becomes a free-falling body						<BR>\n" );
document.write( "s =  Vo*t  +  (1/2)*g*t^2			V0 = 0			<BR>\n" );
document.write( "15.90 = (1/2)*32.2*t^2 =						<BR>\n" );
document.write( "t  = sqrt(15.9 /(16.1))= 0.9938	sec		<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );