We found that the time after the mass passes through the equilibrium point at which the mass attains its extreme displacement from the equilibrium position is 5 seconds. Lastly, we must find the position of the 12 mass at the instant the mass attains its extreme displacement from the equilibrium, which is x 5 We 12 note that the result is measured in feet. x(t) = -e-4 -4t + 6te-4t 5 5 X = -9-4(5/12) + 6 e -4(5/12) 12 12 0.283 ft XA l-kilogram mass is attached to a spring whose constant is 16 Him, and the entire system is then submerged in a liquid that imparts a damping foroe numerically equal to 10 times the instantaneous velocity. Determine the equations of motion if the following is true. (a) the mass is initially released from rest from a point 1 meter below the equilibrium position x(t) - %e_2t(4 86!) m J (b) the mass is initially released from a point 1 meter below the equilibrium position with an upward velocity of 11 m/s 4 x(t)- m 5 X