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Suppose a spring with a stiffness k, is attached to wall and with the other side a block with a mass, m, a force F, then pulls the block away from the wall. How do you derive a function for acceleration of the block as a function of time, a(t)?

When trying to solve this I derived the equation: (F-K*s)/m=a but I dont know how to derive a function of s (displacement) as a function of t (to substitute for s in previous equation). The problem seems to be that s(t) is in its turn again a function acceleration which is a function of how far the spring is stretched which is a function of displacement, s :)

Does anyone know how to do this? Thanks

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# Accelerated mass on a spring

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