A motorcyclist at A is traveling at speed v₁ when he wishes to pass the truck T which is traveling at a constant speed v₂. To do so the motorcyclist accelerates at rate a until reaching a maximum speed v₃. If he then maintains this speed, determine the time needed for him to reach a point located a distance d₃ in front of the truck. Draw the v-t and s-t graphs for the motorcycle during this time. Given:

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V1 = 60 V2 = 60 ft 60 - S ft v3 = 85 d3 = 100 ft S a = 6 ft ft S 2 S d₁ = 40 ft d₂ d2 = 55 ft