A 50-kg bicyclist coasts up a hill. What is the cyclist change in kinetic energy as her altitude changes from 15m to 20m?
A) 0 joules
B) approximately 2,500 joules
C) approximately 7.500 joules
D) approximately 10.000 joules

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?