Suppose that a car weighing 2000 pounds is supported by four shock absorbers each shock absorber has a spring constant of 6250 lbs/foot, so the effective spring constant for the system of 4 shock absorbers is 25000 lbs/foot. 1. assume no damping and determine the period of oscillation of the vertical motion of the car. hint: g 32 f/sec2 t314 2. after 10 seconds the car body is 1 foot above its equilibrium position and at the high point in its cycle. what were the initial seconds. conditions? 2 0.4871 ft, and yt y(o,-0100x 0.487 ft. and y(0)- x ft/sec. 3. now assume that oil is added to each the four shock absorbers so that, together, they produce an effective damping force of - 6.93 ib-sec/ft times the vertical velocity of the car body. find the displacement y(t) from equilibrium if y(0)-0 ft and y( ft/sec. y(t)