document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=126759>Question 126759</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A ball is thrown vertically upward with an intitial velocity of 100 feet per second. <BR>\n" );
document.write( "a) Determine a function h(t) that gives the height of the ball at time t seconds after it is thrown.  The height function is h(t)=-16t^2+vt+h where v is the initial velocity of the ball and h is the initial height of the ball.\r<BR>\n" );
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document.write( "b) how long does it take the ball to reach its maximum height?\r<BR>\n" );
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document.write( "c) what is the maximum height the ball reaches? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #93155 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=93155\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A ball is thrown vertically upward with an initial velocity of 100 feet per second. <BR>\n" );
document.write( "a) Determine a function h(t) that gives the height of the ball at time t seconds after it is thrown. The height function is h(t)=-16t^2+vt+h where v is the initial velocity of the ball and h is the initial height of the ball.<BR>\n" );
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document.write( "If you assume the ball was thrown upward from the ground the equation is<BR>\n" );
document.write( "Ans: h(t)=-16t^2+100t because h=0.<BR>\n" );
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document.write( "b) how long does it take the ball to reach its maximum height? <BR>\n" );
document.write( "Maximum occurs when t = -b/2a = -100/(2*-16) = 3.125 seconds.<BR>\n" );
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document.write( "c) what is the maximum height the ball reaches?<BR>\n" );
document.write( "h(3.125) = -16(3.125)^2+100(3.125) = 156.25 feet<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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