Any body moving with simple harmonic motion is being acted on by a force that is a. constant. proportional to a sine or cosine function of the displacement. b. proportional to the inverse square of the displacement. c. directly proportional to the displacement. d. proportional to the square of the displacement

Suppose that a mass of 2 kg is attached a spring whose spring constant is 50. the system is damped such that b = 12 . the mass is set in motion with an initial velocity of -8 m/s at a position 0 meters from equilibrium. set up and solve a differential equation that models this motion. write your solution in the form a cos ( ω t − α ) where α is a positive number. use your solution to fill in the information below: what is the amplitude of the motion? what is the value of ω ? what is the phase shift?