A mass of 1.25 kg stretches a spring 0.05 m. The mass is in a medium that exerts a viscous resistance of 4 N when the mass has a velocity of 4 The viscous resistance is proportional to the speed of the object. m . S Suppose the object is displaced an additional 0.08 m and released. m Find an function to express the object's displacement from the spring's natural position, in m after t seconds. Let positive displacements indicate a stretched spring, and use 9.8 as the acceleration due to 8² gravity. u(t) =
A mass of 1.25 kg stretches a spring 0.05 m. The mass is in a medium that exerts a viscous resistance of 4 N when the mass has a velocity of 4 The viscous resistance is proportional to the speed of the object. m . S Suppose the object is displaced an additional 0.08 m and released. m Find an function to express the object's displacement from the spring's natural position, in m after t seconds. Let positive displacements indicate a stretched spring, and use 9.8 as the acceleration due to 8² gravity. u(t) =
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![### Problem Statement
A mass of 1.25 kg stretches a spring 0.05 m. The mass is in a medium that exerts a viscous resistance of 4 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 0.08 m and released.
Find a function to express the object's displacement from the spring's natural position, in meters after \( t \) seconds. Let positive displacements indicate a stretched spring, and use \( 9.8 \: \frac{m}{s^2} \) as the acceleration due to gravity.
\[ u(t) = \]
(Note: There are no graphs or diagrams in the provided image to describe.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa86b2d75-dc89-44ee-816d-e64b811f53cb%2F76d3f2c2-f850-43b6-997b-90073c753c2d%2Fmnqvboq_processed.png&w=3840&q=75)
Transcribed Image Text:### Problem Statement
A mass of 1.25 kg stretches a spring 0.05 m. The mass is in a medium that exerts a viscous resistance of 4 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 0.08 m and released.
Find a function to express the object's displacement from the spring's natural position, in meters after \( t \) seconds. Let positive displacements indicate a stretched spring, and use \( 9.8 \: \frac{m}{s^2} \) as the acceleration due to gravity.
\[ u(t) = \]
(Note: There are no graphs or diagrams in the provided image to describe.)
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