A person standing on top of a roof throws a stone downward at 4.0 m/s from a height of 12.0 m. At what height is the stone when its speed is 10 m/s?

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Which component of the earth’s atmosphere is decreased due to photosynthesis?

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?