Ella had a beaker of warm water Its temperature was 70 degrees celsius She poured in some water and stirred the mixture. When she measured the temperature of the water, it had fallen to 40 degree celsius Explain why the temperature of the water decreased when the cold water was added to it

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?