document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=210925>Question 210925</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A cheetah can accelerate from rest to 24.0 m/s in 6.06 s.<BR>\n" );
document.write( "(a) Assuming constant acceleration, how far has the cheetah run in this time?\r<BR>\n" );
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document.write( "(b) After sprinting for just 3.03 s, is the cheetah's speed 12.0 m/s, more than 12.0 m/s, or less than 12.0 m/s?\r<BR>\n" );
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document.write( "Explain.\r<BR>\n" );
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document.write( "(c) What is the cheetah's average speed for the first 3.03 s of its sprint?\r<BR>\n" );
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document.write( "For the second 3.03 s of its sprint?\r<BR>\n" );
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document.write( "(d) Calculate the distance covered by the cheetah in the first 3.03 s and the second 3.03 s.<BR>\n" );
document.write( "first 3.03 s\r<BR>\n" );
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document.write( "second 3.03 s<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 #159363 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=159363\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A cheetah can accelerate from rest to 24.0 m/s in 6.06 s.<BR>\n" );
document.write( "(a) Assuming constant acceleration, how far has the cheetah run in this time?<BR>\n" );
document.write( "a = 24/6.06 = 400/101 m/sec/sec<BR>\n" );
document.write( "s = (at^2)/2 = (400/101)*6.06^2/2<BR>\n" );
document.write( "s = 2*6*6.06 meters<BR>\n" );
document.write( "s = 72.72 meters<BR>\n" );
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document.write( "(b) After sprinting for just 3.03 s, is the cheetah's speed 12.0 m/s, more than 12.0 m/s, or less than 12.0 m/s?<BR>\n" );
document.write( "v = at = (400/101)*3.03<BR>\n" );
document.write( "v = 12 m/sec<BR>\n" );
document.write( "Explain. No need to explain, it's a calculation.<BR>\n" );
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document.write( "(c) What is the cheetah's average speed for the first 3.03 s of its sprint? <BR>\n" );
document.write( "For the second 3.03 s of its sprint? <BR>\n" );
document.write( "Its speed increases linearly, so it's 1/2 of the 12 m/sec<BR>\n" );
document.write( "= 6 m/sec<BR>\n" );
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document.write( "(d) Calculate the distance covered by the cheetah in the first 3.03 s and the second 3.03 s.<BR>\n" );
document.write( "first 3.03 s<BR>\n" );
document.write( "s = at^2/2 = (400/101*3.03^2)/2<BR>\n" );
document.write( "s = 18.18 meters<BR>\n" );
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document.write( "second 3.03 s<BR>\n" );
document.write( "= 72.72 - 18.18 = 54.54 meters<BR>\n" );
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