document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1172456>Question 1172456</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A lion is trying to catch an antelope. The antelope runs for 10.0 s at a constant velocity of +22.0 m/s. Starting from rest, what constant acceleration must the lion maintain in order to run the same distance as its prey(antelope) runs in the same time? (Assume that they both take a straight path) </SPAN>\n" );
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document.write( "The antelope runs for 10.0 seconds at a constant velocity of 22.0 m/s<BR>\n" );
document.write( "The distance the animal runs is 10*22 = 220 meters\r<BR>\n" );
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document.write( "The lion must run 220 meters in 10 seconds. It's starting velocity is vi = 0, since it's starting from rest. The lion's goal is to catch the antelope at the very tail end of the 220 meter stretch.\r<BR>\n" );
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document.write( "We can summarize what we know so far for the lion<BR>\n" );
document.write( "x = distance = 220 meters<BR>\n" );
document.write( "t = time = 10 seconds<BR>\n" );
document.write( "vi = starting velocity = 0 m/s\r<BR>\n" );
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document.write( "We'll use this kinematics formula<BR>\n" );
document.write( "x = vi*t + 0.5*a*t^2\r<BR>\n" );
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document.write( "Let's solve for 'a'<BR>\n" );
document.write( "x = vi*t + 0.5*a*t^2<BR>\n" );
document.write( "220 = 0*10 + 0.5*a*10^2<BR>\n" );
document.write( "220 = 50a<BR>\n" );
document.write( "50a = 220<BR>\n" );
document.write( "a = 220/50<BR>\n" );
document.write( "a = 4.4\r<BR>\n" );
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document.write( "The lion's acceleration must be 4.4 m/s^2, and this acceleration must be constant. <BR>\n" );
document.write( "An acceleration of 4.4 m/s^2 means the lion's velocity is increasing by 4.4 m/s for each second.\r<BR>\n" );
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document.write( "<font color=red>Answer: 4.4 m/s^2</font><BR>\n" );
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