document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=179588>Question 179588</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 82. sports- You throw a baseball straight up into the air a a velocity of 45 feet per second. you release the baseball at a height of 5.5 feet and catch it when it falls back to a height of 6 feet.<BR>\n" );
document.write( "a. use the position equation to write a mathematical model for the height of the baseball.\r<BR>\n" );
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document.write( "b. find the height of the baseball after 0.5 second.\r<BR>\n" );
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document.write( "c. How many seconds is the baseball in the air (use a graphing utility to verify the answer.)\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #134543 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=134543\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You throw a baseball straight up into the air a a velocity of 45 feet per second. you release the baseball at a height of 5.5 feet and catch it when it falls back to a height of 6 feet.<BR>\n" );
document.write( "a. use the position equation to write a mathematical model for the height of the baseball.<BR>\n" );
document.write( "h(t) = -16t^2 + 45t + 5.5<BR>\n" );
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document.write( "b. find the height of the baseball after 0.5 second.<BR>\n" );
document.write( "h(0.5) = -16(0.5)^2 + 45(0.5) + 5.5 = 24 ft.<BR>\n" );
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document.write( "c. How many seconds is the baseball in the air (use a graphing utility to verify the answer.) <BR>\n" );
document.write( " -16t^2 + 45t + 5.5 = 0\r<BR>\n" );
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document.write( "Use the quadratic formula to get:<BR>\n" );
document.write( "t = [-45 +- sqrt(45^2 - 4*-16*5.5)]/-32<BR>\n" );
document.write( "Positive solution:<BR>\n" );
document.write( "t = [-45 - sqrt(2377)]/-32<BR>\n" );
document.write( "t = 2.93 seconds<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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