Discuss the results physically can you relate your

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Unformatted text preview: n vectors along various points of your trajectory. Discuss the results physically - can you relate your finding to what you know from previous courses? Finally: what would you have to change if you want the motion go the other way around? (b) Prove (in general, not just for the above situation) that if velocity, ￿ (t), of any particle has constant v magnitude, then its acceleration is orthogonal to ￿ (t). Is this result valid/relevant for the trajectory v discussed in part a? Hint There’s a nice trick here - consider the time derivative of |￿ (t)|2 = ￿ · ￿ . v vv Note: What you have proven in part b is quite general, and very useful. It explains why, e.g., d￿ /dt must r ˆ ￿ ˆ direction in polar coordinates. Do you see why? point in the φ CONTINUED –2– PHYS 2210 4. In this problem we want to generalize the analysis that you did in class for the motion o...
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This document was uploaded on 03/09/2014 for the course PHYSICS 2210 at Colorado.

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