People create models to understand the scale of the Sun in our galaxy, using objects that are familiar to them. One person scaled down the solar system so that the Carrier Dome in Syracuse, NY, represented the Sun. If the diameter of the Carrier Dome is 0.16 km, what is the scale of this person's model?​

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?