A force of 9 pounds stretches a spring 1 foot. A mass weighing 6.4 pounds is attached to the spring, and the system is then immersed in a medium that offers a damping force numerically equal to 1.2times the instantaneous velocity.(a) Find the equation of motion if the mass is initially released from rest from a point 1 foot above the equilibrium position.ftx(t) ==-λt(b) Express the equation of motion in the form x(t) = Ae¯ sin(√²-2²t+x(t) ==ftq²t + 9), which is given in (23) of Section 3.8. (Round p to two decimal places.)(c) Find the first time at which the mass passes through the equilibrium position heading upward. (Round your answer to three decimal places.)S

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