A car, assumed to be rigid and having a mass of 800 kg, strikes a barrel-barrier installation without the driver applying the brakes. From experiments, the magnitude of the force of resistance Fr, created by deforming

A car, assumed to be rigid and having a mass of 800 kg, strikes a barrel-barrier installation without the driver applying the brakes. From experiments, the magnitude of the force of resistance F_r, created by deforming the barrels successively, is shown as a function of vehicle penetration. If the car strikes the barrier traveling at V_c = 70 km/h, determine approximately the distance s to which the car penetrates the barrier.