. Average value A retarding force, symbolized by the dashpot in the accompanying figure, slows the motion of the weighted spring so that the mass's position at time t is y = 2e cos t, t 2 0. Find the average value of y over the interval 0 < t< 27. y Mass Dashpot my

A force of 15 Newtons stretches a spring 20 centimeters. After a 3 kilogram mass is attached to the spring, the mass is pulled down to a position √3 meters below equilibrium and released with an upward velocity of 5 meters per second. Find a. The equation of motion. b. The amplitude, period, and phase shift of the simple harmonic motion.

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sin The displacement of a mass on a spring is given by s= Find the average velocity of the mass between a) t = 0s and t = 0.5 s b) t = 0.5 s and t = 1.0 s kla π -t where t is in seconds.