Simple Vector Calc: Homework Solutions

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The discussion centers on a poorly stated homework problem involving parametric equations for a motorcycle's path. The lack of clarity regarding the time variable t is highlighted as a significant issue, making the problem unsolvable without assumptions. Participants express concerns about the implications of this negligence on the correctness of their solutions. There is also a brief debate over the correctness of a specific calculation related to the problem. Overall, clarity in problem statements is emphasized as crucial for accurate solutions.
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Homework Statement



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Homework Equations





The Attempt at a Solution



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My only comment would be that the problem is very poorly stated. It is one thing to say the path is given parametrically by r(t) = <t, (1/2)t2> and another thing to say that r(t) describes the position of the motorcycle at time t, t in seconds, which it does not state. The problem is not solvable without assuming that.
 
oh... i think its their negligence.. But if they have stated that.. will my working be correct? :) Thanks again!
 
icystrike said:
oh... i think its their negligence.. But if they have stated that.. will my working be correct? :) Thanks again!

I think mostly correct. I'm disagreeing with your N by a factor of 1/sqrt(2), but I might be off so check it.
 

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Question: A clock's minute hand has length 4 and its hour hand has length 3. What is the distance between the tips at the moment when it is increasing most rapidly?(Putnam Exam Question) Answer: Making assumption that both the hands moves at constant angular velocities, the answer is ## \sqrt{7} .## But don't you think this assumption is somewhat doubtful and wrong?
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