3. Jacob throws a bouncy ball (0.75kg) at Caroline with a speed of 3.1m/s. Caroline throws her heavier bouncy ball (2.5kg) towards Jacob. The bouncy balls collide in the air and travel in opposite directions, each ball has a speed of
2.0m/s. What was the initial speed of Caroline's ball? [G][0][E][S][S]

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?