Which of the following best represents potential energy being converted to kinetic energy?
1)a roller coaster starts at the top of a hill and then rolls down the hill.
2)a pitcher throws a baseball, and then the batter hits a homerun
3)a man jogs around the block and then stops to drink an energy drink
4)a woman peddles her bicycle across town and back again.

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?