document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=825404>Question 825404</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Alex throws a ball straight up into the air. The equation s = s(t) = –16t2 + 80t + 44 gives the distance s (in feet) the ball is above the ground t seconds after he throws it.\r<BR>\n" );
document.write( "\n" );
document.write( "a) How high is the ball two seconds after he throws it?<BR>\n" );
document.write( "b) What is the maximum height of the ball from the ground? <BR>\n" );
document.write( "c) At what time does the ball hit the ground? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #497251 by </B><A HREF=/tutors/aboutme.mpl?userid=TimothyLamb><B>TimothyLamb(4379)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=TimothyLamb><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=TimothyLamb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=497251\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> ---<BR>\n" );
document.write( "given:<BR>\n" );
document.write( "s(t) = -16t^2 + 80t + 44<BR>\n" );
document.write( "---<BR>\n" );
document.write( "answer A:<BR>\n" );
document.write( "s(2) = -16*2*2 + 80*2 + 44<BR>\n" );
document.write( "s(2) = 140 ft<BR>\n" );
document.write( "---<BR>\n" );
document.write( "s(t) = -16t^2 + 80t + 44<BR>\n" );
document.write( "---<BR>\n" );
document.write( "the above quadratic equation is in standard form, with a=-16, b=80, and c=44<BR>\n" );
document.write( "---<BR>\n" );
document.write( "to solve the quadratic equation, by using the quadratic formula, copy and paste this:<BR>\n" );
document.write( "-16 80 44<BR>\n" );
document.write( "into this solver: https://sooeet.com/math/quadratic-equation-solver.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "the quadratic vertex is a maximum at: ( t= 2.5, s= 144 )<BR>\n" );
document.write( "---<BR>\n" );
document.write( "answer B:<BR>\n" );
document.write( "the ball reaches a maximum height of 144 ft<BR>\n" );
document.write( "---<BR>\n" );
document.write( "the quadratic has two real roots at: <BR>\n" );
document.write( "t = -0.5<BR>\n" );
document.write( "t = 5.5<BR>\n" );
document.write( "---<BR>\n" );
document.write( "the negative root doesn't fit the problem statement, so use the positive root:<BR>\n" );
document.write( "---<BR>\n" );
document.write( "answer C:<BR>\n" );
document.write( "the ball hits the ground 5.5 seconds after being thrown<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve and graph linear equations:<BR>\n" );
document.write( "https://sooeet.com/math/linear-equation-solver.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve quadratic equations, quadratic formula:<BR>\n" );
document.write( "https://sooeet.com/math/quadratic-formula-solver.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve systems of linear equations up to 6-equations 6-variables:<BR>\n" );
document.write( "https://sooeet.com/math/system-of-linear-equations-solver.php </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );