During a football game, a receiver has just caught a pass and is standing still. Before he can move, a tackler, running at a velocity of 3.1 m/s, grabs and holds onto him so that they move off together with a velocity of 1.8 m/s. If the mass of the tackler is 115 kg, determine the mass of the receiver in kilograms. Assume momentum is conserved.

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?