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 5
 Homework Statement

A particle of mass m moves under a force field corresponding to the potential energy V(x)=1/2kx^2 . It is given that at a certain instant t=0 , it is at x = 0 and its velocity is small and given by v=v0(i) . To get the subsequent motion,
(a) Newton’s laws of motion can be used
(b) Laws of quantum mechanics can be used
(c) This much data is not sufficient
(d) Laws of relativity must be applied
 Homework Equations
 Given Potential Energy V(x)=1/2kx^2.
The particle is moving under a force field with the potential energy equation described above. I find it logical that Newton's Laws can be used as in the question itself it is stated that the velocity is quite small and we could approximate its subsequent motion via the notions of Classical Physics. Is my approach correct, because I also feel that being a single particle QM would come into play and consequently HUP which would make option (c) the correct one.