A train traveled 110 km from south bend IN to Chicago, IL in 45 minutes. The train must continue from Chicago to Milwaukee, WI, a distance of another 150 km. In what time must it travel from Chicago to Milwaukee in order to have the same average speed as the first part of the trip?

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?