Answer:
(i) [tex]x = 115\,cm[/tex], (ii) [tex]x = 95\,cm[/tex], (iii) [tex]x = 95\,cm[/tex]
Explanation:
(i) [tex]x_{1}[/tex] and [tex]x_{2}[/tex] represent the points where particle has a velocity of zero and spring reach maximum deformation, Given the absence of non-conservative force and by the Principle of Energy Conservation, the position where particle is at maximum speed is average of both extreme positions:
[tex]x = 115\,cm[/tex]
(ii) Maximum accelerations is reached at [tex]x_{1}[/tex] and [tex]x_{2}[/tex].
[tex]x = 95\,cm[/tex]
(iii) Greatest net forces exerted on the particle are reached at  [tex]x_{1}[/tex] and [tex]x_{2}[/tex].
[tex]x = 95\,cm[/tex]
