This might be a bit off topic but I think there are enough physicists
on the list who would be interested winning in a free copy of a new
exercise book for the Feynman Lectures on Physics:

http://feynmanlectures.info/announcement.html

I worked out the solution, but have been told it is unacceptable
because it involves differential equations.  Newton's second law is a
vector differential equation (dp/dt=F, p and F both vectors), so I'm
not clear on how the solution can involve Newtonian mechanics but not
differential equations, as stated in the problem.  Maybe somebody here
can figure it out, apparently Feynman did.  My solution is here:

http://dlpeterson.com/FLP_Exercise_Challenge/solution.pdf

~Luke

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