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On its way to Peace River, Alberta, a car enters a passing zone on the highway. The car is 25.0 m behind a truck and both vehicles are travelling at 41.0 m/s. The car accelerates uniformly to overtake the truck and after the car has travelled 280m, it is 25.0 m ahead of the truck, which has continued to travel at 41 m/s. How much time elapses between when the car begins to accelerate and when the car is 25.0 m ahead of the truck?

  • Physics -

    The truck travels
    X1 = 41 t meters
    during the interval t that it takes to go from 25 m behind to 25 m ahead. The car travels
    H2 = 41 t + (1/2) a t^2 = 41 t + 50 = 280

    41 t = 230
    t = 5.61 s

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