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