Jessie was driving her 2000-kg Camry when she dropped her phone. She leaned down to pick it and just then a small child rode his bicycle into the street 45 meters in front of her. She is traveling at 15 m/s (about 30 mph). She sees the boy and slams on the brakes and the car comes to a stop with the bumper of the car just touching the tire of the bike. Whew!! Calculate the braking force of the car.

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?