The motion of a truck is arrested using a bed of loose stones AB and a set of crash barrels BC. If experiments show that the stones provide a rolling resistance F_t per wheel and the crash barrels provide a resistance as shown in the graph, determine the distance x the truck of weight W penetrates the barrels if the truck is coasting at speed v₀ when it approaches A. Neglect the size of the truck.

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Given: = 160 lb d = 50 ft W = 4500 lb k = 1000 VO = 60. ft S g = = 32.2 lb ft ft 3 2 S