Calculate the maximum velocity, Physics

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Figure shows a simple model of spring-mass system. The mass is released from the rest with the springs un-stretched. It's downward acceleration is a=9.81 - 15.24y m/s2 where y is the position of the mass measured from the original position where it was released.

(a) Calculate:

i. The maximum y it falls.

ii. What is the maximum velocity it reached during the fall

(b) Derive a relationship for the position of the mass, y, as a function of time t.

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