Suppose that a car weighing 4000 pounds is supported by four shock absorbers each shock absorber has a spring constant of 6500 lbs/foot, so the effective spring constant for the system of 4 shock absorbers is 26000 lbs/foot 1. assume no damping and determine the period of oscillation of the vertical motion of the car. hint: g 32 ft/sec2 t 0.436 2. after 10 seconds the car body is 1/3 foot above its equilibrium position and at the high point in its cycle. what were the initial conditions? seconds. ft/sec ft. and y'(0)= y(0)= 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 yt) from equilibrium if y(0) 0 ft and y(0) -10 ft/sec yt