document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1023735>Question 1023735</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 35. Find the maximum height of a golf ball hit with a vertical velocity of 30 meters per second, if the height of the ball is given by:<BR>\n" );
document.write( "h(t) =&#8722;9.8t^2 2 +30t<BR>\n" );
document.write( "Where h(t) is in meters, and t is in seconds<BR>\n" );
document.write( "a) Find the maximum height obtained in the first 1.25 seconds of flight.<BR>\n" );
document.write( "b) Find the maximum height obtained between the 1st second and the 2nd second.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #639192 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=639192\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let y = 75.<BR>\n" );
document.write( "let x = the number of years after 1900.\r<BR>\n" );
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document.write( "i used x instead of t because it's clearer in type.   sometimes the t looks more like a plus sign which sometimes confuses people.\r<BR>\n" );
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document.write( "no problem.\r<BR>\n" );
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document.write( "just change x to t when you translate the solution.\r<BR>\n" );
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document.write( "the equation is 75 = 55 + .2 * x.\r<BR>\n" );
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document.write( "subtract 55 from both sides of the equation to get 20 = .2 * x.\r<BR>\n" );
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document.write( "divide both sides of the equation by .2 to get 100 = x.\r<BR>\n" );
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document.write( "when x = 0, the year is 1900.<BR>\n" );
document.write( "when x = 100, theyear is 1900 + 100 = 2000.\r<BR>\n" );
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document.write( "the life expectancy will be 75 years of age in the year 2000.\r<BR>\n" );
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document.write( "lets see if that makes sense.\r<BR>\n" );
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document.write( "in 1900, the life expectancy is 55.<BR>\n" );
document.write( "the year 2000 is 2000 - 1900 = 100 years from there.<BR>\n" );
document.write( "the life expectancy increases .2 years for each additional year.<BR>\n" );
document.write( "the life expectancy has therefore increased .2 * 100 = 20 years since 1900.<BR>\n" );
document.write( "55 + 20 = 75.<BR>\n" );
document.write( "looks good.\r<BR>\n" );
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document.write( "replace x with t and your equation is 75 = 55 + .2 * t.\r<BR>\n" );
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