Bobby and James were suffering from headaches. At seven o’clock, Bobby took the recommended two tablets of medicine for his headache; James took a dose of the powdered form of the same medicine. Using the assumption that the medicine effectively cures a headache, which person’s headache is likely to subside first? Use details and data from the students’ experiment and your prior knowledge to explain why you think this is.

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?