document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=825435>Question 825435</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Michael throws a baseball into the air with an initial vertical velocity of 180 feet per second from a 100 foot cliff.\r<BR>\n" );
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document.write( "A: Write the height of the baseball as a function of time.<BR>\n" );
document.write( "B: When will the baseball be 200 feet high? <BR>\n" );
document.write( "C: When will the baseball reach its maximum height?<BR>\n" );
document.write( "D: How high is the baseball after 3 seconds? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #497285 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=497285\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> ---<BR>\n" );
document.write( "equation of ballistic motion:<BR>\n" );
document.write( "y(t) = (1/2)gt^2 + v0t + y0<BR>\n" );
document.write( "---<BR>\n" );
document.write( "where y(t) is height at time t<BR>\n" );
document.write( "g = acceleration due to gravity<BR>\n" );
document.write( "v0 = initial velocity<BR>\n" );
document.write( "y0 = initial height<BR>\n" );
document.write( "t = time<BR>\n" );
document.write( "---<BR>\n" );
document.write( "y(t) = (1/2)-32t^2 + 180t + 100<BR>\n" );
document.write( "---<BR>\n" );
document.write( "answer A:<BR>\n" );
document.write( "y(t) = -16t^2 + 180t + 100<BR>\n" );
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document.write( "setup for B:<BR>\n" );
document.write( "200 = -16t^2 + 180t + 100<BR>\n" );
document.write( "-16t^2 + 180t - 100 = 0<BR>\n" );
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document.write( "the above quadratic equation is in standard form, with a=-16, b=180, and c=-100<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( "-16 180 -100<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 has two real roots at:<BR>\n" );
document.write( "t = 0.586088907<BR>\n" );
document.write( "t = 10.6639111<BR>\n" );
document.write( "---<BR>\n" );
document.write( "the quadratic vertex is a maximum at: ( t= 5.625, y(t)= 406.25 )<BR>\n" );
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document.write( "answer B:<BR>\n" );
document.write( "the ball is at 200 feet twice:<BR>\n" );
document.write( "t = 0.586088907 seconds<BR>\n" );
document.write( "t = 10.6639111 seconds<BR>\n" );
document.write( "---<BR>\n" );
document.write( "answer C:<BR>\n" );
document.write( "at t= 5.625 seconds the ball reaches its maximum height of 406.25 feet<BR>\n" );
document.write( "---<BR>\n" );
document.write( "answer D:<BR>\n" );
document.write( "y(3) = -16*3^2 + 180*3 + 100<BR>\n" );
document.write( "y(3) = 496 feet<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 4-equations 4-variables:<BR>\n" );
document.write( "https://sooeet.com/math/system-of-linear-equations-solver.php </SPAN>\n" );
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