From extensive biomechanical tests, the spinal stiffness k of a person is estimated to be 50,000 N/m. Assume that the body mass is 80 kg. Let us assume that this person is driving an automobile without wearing a seat belt. On hitting an obstacle, the driver is thrown upwards, and drops in free fallonto an unpadded seat and experiences an impulse with a magnitude of 100 N-s. By assuming the damping to be zero, calculate the vibration orby using Laplace transformation.