Consider the acceleration of a particle along a straight line with an initial position of 33 m and an initial velocity of 10 m/s. −1 0 1 2 3 0 1 2 3 4 5 6 7 8 9 time (s) acceleration (m/s 2 ) what is the velocity at 4 s? answer in units of m/s. 009 (part 2 of 2) 10.0 points what is the position at 4 s? answer in units of m.

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?