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Satyr
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I have already done this problem enough times forwards and backwards to get the answer, so this is more of a theory question rather than help with homework.
The equation for Vavg.=displacement/time or deltaX/deltaT.
This equate to V=(X2-X1)/(T2-T1), correct?
In working through a problem, the correct version of this equation ended up being:
V=(X1-X2)/(T1+T2).
Here's the question: In reaching her destination, a backpacker walks with an average velocity of 1.34m/s, due west. This average velocity results because she hikes for 6.44km with an average velocity of 2.68m/s, due west, turns around, and hikes with an average velocity of 0.447m/s, due east. How far east did she walk?
In fact, here's a link to the solution to the problem that I found:
http://www.cramster.com/physics-answers-5-315022-cpi0.aspx
My question is this: How was that form of the equation derived? I solved this many times using the standard equation and was doing the entire procedure correctly...but was getting the wrong answer as I was using my initial equation rather than the version I have mentioned here. Can someone explain to me what the reasoning is behind this?
The equation for Vavg.=displacement/time or deltaX/deltaT.
This equate to V=(X2-X1)/(T2-T1), correct?
In working through a problem, the correct version of this equation ended up being:
V=(X1-X2)/(T1+T2).
Here's the question: In reaching her destination, a backpacker walks with an average velocity of 1.34m/s, due west. This average velocity results because she hikes for 6.44km with an average velocity of 2.68m/s, due west, turns around, and hikes with an average velocity of 0.447m/s, due east. How far east did she walk?
In fact, here's a link to the solution to the problem that I found:
http://www.cramster.com/physics-answers-5-315022-cpi0.aspx
My question is this: How was that form of the equation derived? I solved this many times using the standard equation and was doing the entire procedure correctly...but was getting the wrong answer as I was using my initial equation rather than the version I have mentioned here. Can someone explain to me what the reasoning is behind this?
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