A brick mason is on a steep roof repairing a chimney and drops a brick. If the brick slides down the roof and leaves the edge of the roof with the velocity v = (3.00 m/s)î − [(5.00 m/s) + (9.80 m/s2)t]ĵ, determine the displacement of the brick from the edge of the roof at a time t = 0.315 s after it leaves the edge of the roof.

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?