(Solved): A body of mass m=1 gr is attached to a vertical spring with spring constant k=4gr/s2. Let y be a ve ...

$$A$$ body of mass $$m=1$$ gr is attached to a vertical spring with spring constant $$k=4\mathrm{gr}/{\mathrm{s}}^2$$. Let $$y$$ be a vertical coordinate with $$y=0$$ at the mass-spring equilibrium position and $$\mathbf{y}$$ be positive downwards. At time $$t=0$$ the body is pulled down $$\sqrt{3}\mathrm{cm}$$ and released with initial speed of 2 $$\mathrm{cm}/\mathrm{s}$$ in the upwards direction. Find the function $$y(t)$$ that describes the movement of this mass-spring system.