In: Math
A mass weighing 8 pounds stretches a spring 4 feet. The medium through the mass moves offers a damping force numerically equal to sqrt(2) times the instantaneous velocity. Find the equation of motion if mass is released from equilibrium position with a downward velocity of 5 ft/s. Find the time at which the mass attains its extreme displacement from the equilibrium position. What is the position of the mass at this instant? The acceleration of gravity is g = 32 ft/s2