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Yes, my remark about t=0 was only in relation to part c.JulienB said:@haruspex I imagine so since it was a problem at a real exam a couple of years ago. Well I read the problem again and nothing's stated about t=0 until question c) and it is unfortunately for α = 0 then.
For part b, the only other suggestion I have is that it should say to find αR in terms of m, L, k and x0.