document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=203942>Question 203942</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The cliff divers of Acapulco amaze tourists with their diving skills. The velocity v of a diver is a function of the time t the diver has fallen, v=2 feet per second when t=0 seconds and v=66 feet per second when t=2 seconds.\r<BR>\n" );
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document.write( "a. Write a linear function that represents the velocity v as a function of time t.\r<BR>\n" );
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document.write( "b. Interpret the slope of this function in the context of the problem.\r<BR>\n" );
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document.write( "c. Interpret the y-intercept of this function in the context of the problem. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #153881 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=153881\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The cliff divers of Acapulco amaze tourists with their diving skills. The velocity v of a diver is a function of the time t the diver has fallen, v=2 feet per second when t=0 seconds and v=66 feet per second when t=2 seconds. <BR>\n" );
document.write( "Write a linear function that represents the velocity v as a function of time t<BR>\n" );
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document.write( "Use the two points (0,2), and (2,66).<BR>\n" );
document.write( "slope = (66-2)/2 = 32 per second<BR>\n" );
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document.write( "intercept is v(0) = 2<BR>\n" );
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document.write( "Equations:<BR>\n" );
document.write( "v(t) = 32t + 2<BR>\n" );
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document.write( "b. Interpret the slope of this function in the context of the problem.<BR>\n" );
document.write( "slope is the increase in falling-velocity per second.<BR>\n" );
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document.write( "c. Interpret the y-intercept of this function in the context of the problem<BR>\n" );
document.write( "At time = 0 seconds the velocity is 2 feet per second.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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