(Answered) A particle is subjected to the potencial vx

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A particle is subjected to the potencial V(x) = - Fx, where F is a constant. The particle travels from x = 0 to x = a in time interval t0. Assume the motion of the particle can be expressed in form x(t) = A + Bt + Ct^2. Find the values of A, B, and C such that the action is a minimum.

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