A spring-mass system with mass (2 mathrm{~kg}) and stiffness (3200 mathrm{~N} / mathrm{m}) has an initial displacement

Question:

A spring-mass system with mass $2 \mathrm{~kg}$ and stiffness $3200 \mathrm{~N} / \mathrm{m}$ has an initial displacement of $x_{0}=0$. What is the maximum initial velocity that can be given to the mass without the amplitude of free vibration exceeding a value of $0.1 \mathrm{~m}$ ?

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