document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=71387>Question 71387</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 3) 	Suppose a baseball is shot up from the ground straight up with an initial velocity of 64 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 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.<BR>\n" );
document.write( "a) 	What is the function that describes this problem?<BR>\n" );
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document.write( "b) 	The ball will be how high above the ground after 1 second?<BR>\n" );
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document.write( "c) 	How long will it take to hit the ground?<BR>\n" );
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document.write( "d) 	What is the maximum height of the ball?  What time will the maximum height be attained?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #51064 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=51064\">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 can be created by expressing distance above the ground, s, as a function of time, t. This function is <BR>\n" );
document.write( "s = -16t2 + v0t + s0 <BR>\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. <BR>\n" );
document.write( "a) What is the function that describes this problem?<BR>\n" );
document.write( "Answer: <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( "Answer: <BR>\n" );
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document.write( "s(1) = -16(1)^2 + 64(t)<BR>\n" );
document.write( "s(1) = -16 + 64<BR>\n" );
document.write( "s(1) = 48 ft.<BR>\n" );
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document.write( "c) How long will it take to hit the ground?<BR>\n" );
document.write( "Answer: <BR>\n" );
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document.write( "Its height will be zero when it hits the ground.<BR>\n" );
document.write( "So 0 = -16t^2 + 64t<BR>\n" );
document.write( "t(-16t+64)=0<BR>\n" );
document.write( "t= 0 or -16t+64=0<BR>\n" );
document.write( "t=0 seconds or t= 4seconds<BR>\n" );
document.write( "The height will be zero at the start and after 4 seconds.<BR>\n" );
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document.write( "d) What is the maximum height of the ball? What time will the maximum height be attained?<BR>\n" );
document.write( "Answer: <BR>\n" );
document.write( "Show work in this space.<BR>\n" );
document.write( "s(t) = -16t^2 + 64t +0<BR>\n" );
document.write( "This is a quadratic with a=-16, b=64, c=0<BR>\n" );
document.write( "The high point is at t=-b/2a = -(64)/(-32) = 2 seconds<BR>\n" );
document.write( "It reaches its highest point after 2 seconds.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. \r<BR>\n" );
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