The combination of Newton's Law of Acceleration and Hooke's Law reveals that the change in a spring's length is proportional to the acceleration of the system.

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Newton's second law states that if a mass (m) experiences an acceleration (a), then there must be a net force (F) acting on the mass; that is F=m×a. Hooke's law states that if a spring of stiffness k is stretched a distance of x from its equilibrium position, there must be a net force acting on the spring given; that is F=k×x. If these two equations are combined it reveals that the displacement of the spring will be proportional to the acceleration

The Combination of Newton's Law of Acceleration and Hooke's Law