1. What is the potential energy of a stone with a mass of 2.3 kg dropped from a building that is 197 m tall? 2. A ball is rolled down a hill and at the bottom it has a velocity of 9.2 m/s. What is the height of the hill?

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?