document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=286864>Question 286864</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Use a(t) = -32 ft/sec2 as the acceleration due to gravity. (Neglect air resistance.)\r<BR>\n" );
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document.write( "A ball is thrown vertically upward from a height of 5 feet with an initial velocity of 46 feet per second. How high will the ball go? (Round your answer to two decimal places.)<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 #208019 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=208019\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Use a(t) = -32 ft/sec2 as the acceleration due to gravity. (Neglect air resistance.) <BR>\n" );
document.write( "A ball is thrown vertically upward from a height of 5 feet with an initial velocity of 46 feet per second. How high will the ball go? (Round your answer to two decimal places.)<BR>\n" );
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document.write( "h(t) = -16t^2 + 46t + 5<BR>\n" );
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document.write( "Top of the arc is the vertex.<BR>\n" );
document.write( "Vertex occurs when x = -b/2a = -46/(-32) = 23/16 seconds.<BR>\n" );
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document.write( "Height at the vertex = h(23/16) = -16(23/16)^2+46(23/16)+5 = 38.06 ft.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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