The components of a vector v¯ can be written (vx , vy , vz). what is the length of a vector which is the sum of the two vectors v1¯ and v2¯ whose components are (8.0, -3.7, 0.0) and (3.9, -8.1, -4.4)?

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?