document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1079156>Question 1079156</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Sir Isaac Newton XIV, a descendant of the famous physicist and mathematician, takes you to the top of a building to demonstrate a physics property discovered by his famous ancestor. He throws your math book straight up into the air. The book's distance, s, above the ground as a function of time, t, is modeled by s=-16t^2+16t+32\r<BR>\n" );
document.write( "\n" );
document.write( "a) When the book strikes the ground, what is the value of s?\r<BR>\n" );
document.write( "\n" );
document.write( "b) Write an equation that you must solve to determine when the book strikes the ground.\r<BR>\n" );
document.write( "\n" );
document.write( "c) solve the equation from problem b by factoring.\r<BR>\n" );
document.write( "\n" );
document.write( "d) Are both solutions to the equation (t=2 and t=-1) also solutions to the question, \"At what time does the book strike the ground\"? Explain.\r<BR>\n" );
document.write( "\n" );
document.write( "e) You want to know at what time the book is 32 feet above the ground. Write a quadratic equation that represents this situation.\r<BR>\n" );
document.write( "\n" );
document.write( "f) Solve the equation from problem e by factoring. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #693512 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=693512\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> -16t^2+16t+32=0 when it hits the ground.<BR>\n" );
document.write( "a) 0 is the value of s<BR>\n" );
document.write( "b)-16t^2+16t+32=0<BR>\n" );
document.write( "c)-16(t^2-t-2)=0 and (t-2)(t+1)=0, so t=2 or -1<BR>\n" );
document.write( "d) only the t=2 is a solution since time has to be positive.<BR>\n" );
document.write( "e) -16t^2+16t=32=32; -16t^2+16t=0, t=0, t=1, only 1 makes sense.<BR>\n" );
document.write( "(the building is 32 feet tall.)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C300%2C-5%2C5%2C-10%2C40%2C-16x%5E2%2B16x%2B32%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C300%2C-5%2C5%2C-10%2C40%2C-16x%5E2%2B16x%2B32%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );