Answer:
[tex]v_{max} = |d|\cdot \sqrt{\frac{k}{m} }[/tex]
Explanation:
The maximum speed of the block occurs when spring has no deformation, that is, there is no elastic potential energy, which can be remarked from appropriate application of the Principle of Energy Conservation:
[tex]\frac{1}{2}\cdot k \cdot d^{2} = \frac{1}{2}\cdot m \cdot v^{2}[/tex]
[tex]k \cdot d^{2} = m\cdot v^{2}[/tex]
[tex]v_{max} = |d|\cdot \sqrt{\frac{k}{m} }[/tex]
