document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1032943>Question 1032943</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The height of a baseball hit into the air is given by the quadratic equation h(t)=-5(t-2.6)^2+35 , where time,t, is in seconds and height, h(t), is in metres.\r<BR>\n" );
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document.write( "a) What was the height of the ball when it was hit?<BR>\n" );
document.write( "b)What is the maximum height of the ball?<BR>\n" );
document.write( "c)Is the ball still in the air after 4s? Explain<BR>\n" );
document.write( "d) When is the ball at a height of 24m?\r<BR>\n" );
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document.write( "Thanks sooo much :) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #647544 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=647544\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  The height of a baseball hit into the air is given by the quadratic equation h(t)=-5(t-2.6)^2+35 , where time,t, is in seconds and height, h(t), is in metres.<BR>\n" );
document.write( "h(t) = -5(t^2 - 5.2t + 6.76) + 35<BR>\n" );
document.write( "h(t) = -5t^2 + 26t - 33.8 + 35 <BR>\n" );
document.write( "h(t) = -5t^2 + 26t + 1.2<BR>\n" );
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document.write( "a) What was the height of the ball when it was hit?:: h(0) = 1.25 ft<BR>\n" );
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document.write( "b)What is the maximum height of the ball?:: <BR>\n" );
document.write( "Max occurs when t = -b/(2a) = -26/(2*-5) = 2.6 seconds<BR>\n" );
document.write( "Max height = h(2.6) = 35 ft<BR>\n" );
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document.write( "c)Is the ball still in the air after 4s? Explain<BR>\n" );
document.write( "h(4) = 25.2 ft <BR>\n" );
document.write( "d) When is the ball at a height of 24m?<BR>\n" );
document.write( "Solve:: -5t^2 + 26t + 1.2 = 24<BR>\n" );
document.write( "t = 1.12 sec and t = 4.08 sec<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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