An iguana runs back and forth along the ground. The horizontal position of the iguana in meters over time is shown below

Position

(meters)

107

8

6

4

2+

1

2.

6

Time

(seconds)

-bt

- 8+

-10%

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?