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A 10- kg mass is attached to a spring, stretching it 0.7 m from its natural...

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Advance Math

A 10- kg mass is attached to a spring, stretching it 0.7 m fromits natural length. The mass is started in motion from theequilibrium position with an initial velocity of 1 m/s in thedownward direction. a. Find the equation of motion assuming no airresistance. b. When is the first time the mass goes through theequilibrium position after it was set in motion. c. Find theequation of motion assuming air resistance equal to -90x’(t)Newtons. d. What is the long term behavior of the motion describedin part (c)? Use differential equations to solve this.

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