A passenger car is traveling on a smooth road, when it suddenly encounters a large bump. The bum has a triangular geometry, 15cm high and 1m long. Using a quarter-car model, compute and discuss the acceleration response of the vehicle for traveling speeds of 35 km/h and 100 km/h. Assume the mass of the vehicle to be 400 kg, its bounce frequency to be 2.5 Hz and its damping ratio to be 15%. Determine the influence of increasing the damping ratio on the maximum value of the vertical force transmitted to the ground in the two scenarios