Question

Differential equations problem:

A mass of 0.5 kg stretches a spring 0.05 m. The mass is in a medium that exerts a viscous resistance of 2 N when the mass has a velocity of 4 m/s. The viscous resistance is proportional to the speed of the object.

Suppose the object is displaced an additional 0.03 m and released.


Find an function to express the object's displacement from the spring's equilibrium position, in m after t seconds. Let positive displacements indicate a stretched spring, and use 9.8 m/s^2 as the acceleration due to gravity.

Answer 1

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