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Jul 26, 2010 at 14:32 vote accept David Spivak
Jul 26, 2010 at 11:50 comment added JBL Thanks for the comment! I've corrected the typos, and I agree with the rest of your comment.
Jul 26, 2010 at 11:47 history edited JBL CC BY-SA 2.5
added 235 characters in body
Jul 26, 2010 at 11:40 comment added Willie Wong Two points: (a) a pedantic one. First sentence in third paragraph, "expcted" should be "expected" and "red" should be "hopefully turning green" (b) a more natural/physical assumption (not the one OP asks, though) is not to maximize the expected speed at which you pass through the light, but to minimize the energy loss due to braking. So you need to fix $\int_0^T vdt = d$, $v(0) = v_0$ and function $v$ non-increasing while maximizing $\int_0^Tv^2dt$, then the optimum is sudden brake when you hit the red light. (Hence my earlier [deleted] comment about acceleration constraint.)
Jul 26, 2010 at 1:41 history answered JBL CC BY-SA 2.5