document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=350221>Question 350221</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A car travels at 60 mph east for 20 min then at 30 mph west for 30 minutes. What is the average speed and average velocity?\r<BR>\n" );
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document.write( "Average speed I got, 42 mph. Not sure about average velocity. </SPAN>\n" );
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document.write( "Your answer for speed is correct. In the first 20 minutes, going 60 miles per hour which is the same thing as 1 mile per minute, the car travels 20 miles.  In the next 30 minutes, going 30 miles per hour, which is <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \frac{1}{2}\"> mile per minute, the car travels 15 miles.  Total distance:  20 plus 15 is 35 miles.  Total time 50 minutes which is <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \frac{5}{6}\"> hour, so:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ r\ =\ \frac{d}{t}\ =\ \frac{35}{\frac{5}{6}}\ =\ 35\,\cdot\,\frac{6}{5}\ =\ 42\text{ mph}\"> average SPEED.\r<BR>\n" );
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document.write( "Notice that speed, being a scalar quantity, doesn't take into consideration the direction of travel.\r<BR>\n" );
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document.write( "Velocity, on the other hand, is a vector quantity.  It has a magnitude (the scalar speed) and a direction.  So if the car went 20 miles east and then turned around and traveled 15 miles west, the car would be 5 miles east of the starting point.  5 miles in <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \frac{5}{6}\"> of an hour.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ r\ =\ \frac{d}{t}\ =\ \frac{5}{\frac{5}{6}}\ =\ 5\,\cdot\,\frac{6}{5}\ =\ 6\text{ mph}\">\r<BR>\n" );
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document.write( "and since the ending point was due east of the starting point, the velocity is 6 mph EAST.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi} + 1 = 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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