Question: solve with differential equations A 62.5 g object is attached to one end of a vertical spring with constant 4 N / m and is

solve with differential equations A 62.5 g object is attached to one end of a vertical spring with constant 4 N / m and is fixed with its other end. The medium offers a resistance that in newtons is numerically equal to the instantaneous velocity in m / s. The object is released from a point 25 cm above the equilibrium position with a downward velocity of 10 m / s. Determine: (a) the position of the object at any instant. (b) the instant at which the object first passes through the equilibrium position. (c) the instant at which the object reaches its maximum displacement. What is the position of the object at this instant?

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