The tired of a car support the weight of a stationary. If one tire has a slow leak, the air pressure within the tire willwith time, the surface area between the tire and the roadwillin time, and the net force the tire exerts on the roadwillin time.

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?