6) While going through a quarter life crisis you decide you are going to go 4p sky diving. You leap out of the plane with an initial downward velocity of 2 m/s. If the human terminal velocity is 66m/s how far would you travel before hitting terminal velocity assuming air resistance is negligible? (Hint think about what variables are present that aren't stated.)​

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?