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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
magnitude, then its acceleration is orthogonal to (t). Is this result valid/relevant for the trajectory
discussed in part a?
Hint There’s a nice trick here - consider the time derivative of | (t)|2 = · .
Note: What you have proven in part b is quite general, and very useful. It explains why, e.g., d /dt must
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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