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## Homework Statement

A horizontal massless spring of spring constant k is attached to a immovable wall at one end and a mass of 0.45kg at the other end. The spring which was not originally under tension, is now extended by 0.18 m by pulling the mass horizontally. The mass was then released by giving it an instantantaneous push in the direction of the extension such that it had an initial velocity of 0.5 ms

^{-1}. The mass then undergoes firctionless simple harmonic motion (SHM) at [tex]\omega[/tex] = 2.2 rad s

^{-1}. With an explanation of your reasoning:

(i) deduce the equation for the displacement of the mass as a function of time, (2)

(ii) show that your equation complies with the general form of SHM

*x(t) = Acos([tex]\omega[/tex]*) (2)

_{o}t + [tex]\phi[/tex]