A mass of 1 kg stretches a spring 0.1 m. The mass is in a medium that exerts a viscous resistance of -. The viscous resistance is proportional to the speed of m 10 N when the mass has a velocity of 2 S the object. Suppose the object is displaced an additional 0.06 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 as the acceleration due to gravity. 8²

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A mass of 1 kg stretches a spring 0.1 m. The mass is in a medium that exerts a viscous resistance of
-. The viscous resistance is proportional to the speed of
m
10 N when the mass has a velocity of 2
S
the object.
Suppose the object is displaced an additional 0.06 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
as the
acceleration due to gravity.
8²
Transcribed Image Text:A mass of 1 kg stretches a spring 0.1 m. The mass is in a medium that exerts a viscous resistance of -. The viscous resistance is proportional to the speed of m 10 N when the mass has a velocity of 2 S the object. Suppose the object is displaced an additional 0.06 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 as the acceleration due to gravity. 8²
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