- #1

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**The problem**

I'm pasting the problem below mainly for the plot of y vs x.

**A possible way to think of it**

I suppose the important thing here is to find y(t) with the condition that -a

_{max}<a

_{y}<a

_{max}, and v

_{y}(L/v

_{p})=0

**My attempt**

I've modelled acceleration as a(t)=-kt and got an equation for y(t) as a function of t

^{3}which can be replaced by L/v. But the problem is that, plotting on gnuplot, the solution doesn't convince me. Would you give me some hints on how to model a(t), please?

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