document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1034543>Question 1034543</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me with this problem :Elaine shoots an arrow upward at a speed of 32 feet per second from a bridge that is 28 feet high. The height of the arrow is given by the function h(t) = -16t2+32t + 28, where t is the time in seconds. <BR>\n" );
document.write( "a. What is the maximum height that the arrow reaches?<BR>\n" );
document.write( "b. How long does it take the arrow to reach its maximum height?<BR>\n" );
document.write( "c. How long would it take before the arrow reached the ground? Round your answer to the hundredths place. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #649373 by </B><A HREF=/tutors/aboutme.mpl?userid=fractalier><B>fractalier(6550)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=fractalier><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/cgi-bin/show-face.mpl?user=fractalier><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=649373\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a)  It reaches a maximum height when the velocity is zero.<BR>\n" );
document.write( "v(t) = 0 = h'(t) = -32t + 32 ==> t=1 second<BR>\n" );
document.write( "b)  At that time, h(1) = -16 + 32 + 28 = 44 feet<BR>\n" );
document.write( "c)  To find this, we let h(t) = 0 and solve for t...thus<BR>\n" );
document.write( "-16t^2 + 32t + 28 = 0<BR>\n" );
document.write( "-4t^2 + 8t + 7 = 0<BR>\n" );
document.write( "4t^2 - 8t - 7 = 0<BR>\n" );
document.write( "and <BR>\n" );
document.write( "t = 2.66 seconds </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );